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@book{HawkingEllis,
address = {Cambridge},
author = {Hawking, S. W. and Ellis, G. F. R.},
gbs_id = {QagG{\_}KI7Ll8C},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {The Large Scale Structure of Space-Time},
year = {1973}
}
@article{DHNReview,
author = {Damour, T. and Henneaux, M. and Nicolai, H.},
cited = {19 October 2007},
doi = {10.1088/0264-9381/20/9/201},
eprint = {hep-th/0212256},
journal = {Class. Quantum Grav.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0212256},
pages = {R145--R200},
title = {Cosmological billiards},
volume = {20},
year = {2003}
}
@book{Ratcliffe,
address = {New York, U.S.A.},
author = {Ratcliffe, J. G.},
gbs_id = {hwQmbllvFMUC},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Springer},
series = {Graduate Texts in Mathematics},
title = {Foundations of Hyperbolic Manifolds},
volume = {149},
year = {1994}
}
@article{Demaret,
author = {Demaret, J. and Hanquin, J. L. and Henneaux, M. and Spindel, P.},
doi = {10.1016/0550-3213(85)90461-4},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {538--560},
title = {Cosmological models in eleven-dimensional supergravity},
volume = {252},
year = {1985}
}
@article{IntersectingOhta,
author = {Ohta, N.},
cited = {19 October 2007},
doi = {10.1016/S0370-2693(03)00274-0},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0301095},
pages = {213--220},
title = {Intersection rules for S-branes},
volume = {558},
year = {2003}
}
@article{AcceleratingOhta,
author = {Ohta, N.},
cited = {19 October 2007},
doi = {10.1103/PhysRevLett.91.061303},
eid = {061303},
journal = {Phys. Rev. Lett.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0303238},
title = {Accelerating cosmologies from S-branes},
volume = {91},
year = {2003}
}
@preprint{Feingold,
author = {Feingold, A. J. and Nicolai, H.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Subalgebras of Hyperbolic Kac--Moody Algebras},
url = {http://arXiv.org/abs/math.qa/0303179},
year = {2003}
}
@preprint{Baez,
author = {Baez, J. C.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {The Octonions},
url = {http://arXiv.org/abs/math.ra/0105155},
year = {2001}
}
@preprint{NicolaiFischbacher,
author = {Nicolai, H. and Fischbacher, T.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Low level representations for $E_{10}$ and $E_{11}$},
url = {http://arXiv.org/abs/hep-th/0301017},
year = {2003}
}
@book{Kac,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Kac, V. G.},
edition = {3rd},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Cambridge University Press},
title = {Infinite dimensional Lie algebras},
year = {1990}
}
@article{OliveWest,
author = {Gaberdiel, D. I. and West, P. C.},
cited = {19 October 2007},
doi = {10.1016/S0550-3213(02)00690-9},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0205068},
pages = {403--437},
title = {A class of Lorentzian Kac--Moody algebras},
volume = {645},
year = {2002}
}
@article{CosmologyNicolai,
author = {Kleinschmidt, A. and Nicolai, H.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2006/01/137},
eid = {137},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {01},
onlineversion = {http://arXiv.org/abs/hep-th/0511290},
title = {$E_{10}$ cosmology},
volume = {2006},
year = {2006}
}
@article{IntersectingArgurio,
author = {Argurio, R. and Englert, F. and Houart, L.},
cited = {19 October 2007},
doi = {10.1016/S0370-2693(97)00205-0},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/9701042},
pages = {61--68},
title = {Intersection rules for $p$-branes},
volume = {398},
year = {1997}
}
@article{Misner,
author = {Misner, C. W.},
doi = {10.1103/PhysRevLett.22.1071},
journal = {Phys. Rev. Lett.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {1071--1074},
title = {Mixmaster Universe},
volume = {22},
year = {1969}
}
@article{IntersectingEnglert,
author = {Englert, F. and Houart, L.},
cited = {19 October 2007},
eid = {059},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {05},
onlineversion = {http://arXiv.org/abs/hep-th/0405082},
title = {$G^{+++}$ invariant formulation of gravity and M-theories: Exact intersecting brane solutions},
volume = {2004},
year = {2004}
}
@preprint{BraneDynamicsEnglert,
author = {Englert, F. and Houart, L.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {From brane dynamics to a Kac--Moody invariant formulation of M-theories},
url = {http://arXiv.org/abs/hep-th/0402076},
year = {2004}
}
@article{BPSEnglert,
author = {Englert, F. and Houart, L.},
cited = {19 October 2007},
eid = {002},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {01},
onlineversion = {http://arXiv.org/abs/hep-th/0311255},
title = {$G^{+++}$ invariant formulation of gravity and M-theories: Exact BPS solutions},
volume = {2004},
year = {2004}
}
@article{Strominger,
author = {Gutperle, M. and Strominger, A.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2002/04/018},
eid = {018},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {04},
onlineversion = {http://arXiv.org/abs/hep-th/0202210},
title = {Spacelike branes},
volume = {2002},
year = {2002}
}
@article{InvarianceUnderCompactification,
author = {Damour, T. and de Buyl, S. and Henneaux, M. and Schomblond, C.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2002/08/030},
eid = {030},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {08},
onlineversion = {http://arXiv.org/abs/hep-th/0206125},
title = {Einstein billiards and overextensions of finite-dimensional simple Lie algebras},
volume = {2002},
year = {2002}
}
@article{HenneauxJulia,
author = {Henneaux, M. and Julia, B.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2003/05/047},
eid = {047},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {05},
onlineversion = {http://arXiv.org/abs/hep-th/0304233},
title = {Hyperbolic billiards of pure $D = 4$ supergravities},
volume = {2003},
year = {2003}
}
@book{Helgason,
address = {Providence, RI},
author = {Helgason, S.},
gbs_id = {wd-sXTUGk98C},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {American Mathematical Society},
series = {Graduate Studies in Mathematics},
title = {Differential Geometry, Lie Groups, and Symmetric Spaces},
volume = {34},
year = {2001}
}
@phdthesis{Chitre,
address = {College Park, U.S.A.},
author = {Chitre, D. M.},
format = {phd},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
school = {University of Maryland},
title = {Investigations of Vanishing of a Horizon for Bianchy Type X (the Mixmaster)},
year = {1972}
}
@article{Satake,
author = {Satake, I.},
doi = {10.2307/1969880},
journal = {Ann. Math. (2)},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {1},
pages = {77--110},
title = {On Representations and Compactifications of Symmetric Riemannian Spaces},
volume = {71},
year = {1960}
}
@article{Araki,
author = {Araki, S.},
journal = {J. Math. Osaka City Univ.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {1},
pages = {1--34},
title = {On root systems and an infinitesimal classification of irreducible symmetric spaces},
volume = {13},
year = {1962}
}
@article{ArithmeticalChaos,
author = {Damour, T. and Henneaux, M.},
cited = {19 October 2007},
doi = {10.1103/PhysRevLett.86.4749},
journal = {Phys. Rev. Lett.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0012172},
pages = {4749--4752},
title = {$E_{10}, BE_{10}$ and arithmetical chaos in superstring cosmology},
volume = {86},
year = {2001}
}
@article{DH1,
author = {Damour, T. and Henneaux, M.},
cited = {19 October 2007},
doi = {10.1103/PhysRevLett.85.920},
eprint = {hep-th/0003139},
journal = {Phys. Rev. Lett.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0003139},
pages = {920--923},
title = {Chaos in superstring cosmology},
volume = {85},
year = {2000}
}
@article{HyperbolicKaluzaKlein,
author = {Damour, T. and Henneaux, M. and Julia, B. and Nicolai, H.},
cited = {19 October 2007},
doi = {10.1016/S0370-2693(01)00498-1},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0103094},
pages = {323--330},
title = {Hyperbolic Kac--Moody algebras and chaos in Kaluza--Klein models},
volume = {509},
year = {2001}
}
@article{Demaret1,
author = {Demaret, J. and Henneaux, M. and Spindel, P.},
doi = {10.1016/0370-2693(85)90024-3},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {27--30},
title = {No Oscillatory Behavior in vacuum Kaluza--Klein cosmologies},
volume = {164},
year = {1985}
}
@article{Demaret2,
author = {Demaret, J. and Hanquin, J. L. and Henneaux, M. and Spindel, P. and Taormina, A.},
doi = {10.1016/0370-2693(86)90701-X},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {129--132},
title = {The fate of the mixmaster behavior in vacuum inhomogeneous Kaluza--Klein cosmological models},
volume = {175},
year = {1986}
}
@article{Wesley2005bd,
adsurl = {http://adsabs.harvard.edu/abs/2005PhRvD..72f3513W},
archiveprefix = {arXiv},
author = {Wesley, D. H. and Steinhardt, P. J. and Turok, N.},
cited = {19 October 2007},
doi = {10.1103/PhysRevD.72.063513},
eid = {063513},
eprint = {hep-th/0502108},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0502108},
pages = {063513},
title = {Controlling chaos through compactification in cosmological models with a collapsing phase},
volume = {72},
year = {2005}
}
@article{Wesley2006cd,
author = {Wesley, D. H.},
cited = {19 October 2007},
journal = {Class. Quantum Grav.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0610322},
pages = {F7--F13},
title = {Kac--Moody algebras and controlled chaos},
volume = {24},
year = {2006}
}
@article{Breitenlohner:1987dg,
author = {Breitenlohner, P. and Maison, D. and Gibbons, G. W.},
cited = {24 April 2008},
doi = {10.1007/BF01217967},
journal = {Commun. Math. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {295--333},
title = {4-Dimensional Black Holes from Kaluza--Klein Theories},
url = {http://projecteuclid.org/euclid.cmp/1104177752},
volume = {120},
year = {1988}
}
@preprint{Cremmer:1999du,
author = {Cremmer, E. and Julia, B. and L{\"{u}}, H. and Pope, C. N.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Higher-dimensional Origin of $D=3$ Coset Symmetries},
url = {http://arXiv.org/abs/hep-th/9909099},
year = {1999}
}
@article{CJS,
author = {Cremmer, E. and Julia, B. and Scherk, J.},
doi = {10.1016/0370-2693(78)90894-8},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {409--412},
title = {Supergravity in theory in 11 dimensions},
volume = {76},
year = {1978}
}
@article{BKL,
author = {Belinskii, V. A. and Khalatnikov, I. M. and Lifshitz, E. M.},
doi = {10.1080/00018737000101171},
journal = {Adv. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {525--573},
title = {Oscillatory Approach to a Singular Point in the Relativistic Cosmology},
volume = {19},
year = {1970}
}
@article{DH2,
author = {Damour, T. and Henneaux, M.},
cited = {19 October 2007},
eprint = {hep-th/0006171},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0006171},
pages = {108--116},
title = {Oscillatory behaviour in homogeneous string cosmology models},
volume = {488},
year = {2000}
}
@article{Obers:1998fb,
archiveprefix = {arXiv},
author = {Obers, N. A. and Pioline, B.},
cited = {19 October 2007},
doi = {10.1016/S0370-1573(99)00004-6},
eprint = {hep-th/9809039},
journal = {Phys. Rep.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/9809039},
pages = {113--225},
primaryclass = {hep-th},
title = {U-duality and M-theory},
volume = {318},
year = {1999}
}
@phdthesis{AxelThesis,
address = {Cambridge},
author = {Kleinschmidt, A.},
format = {phd},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
school = {Cambridge University},
title = {Indefinite Kac--Moody Algebras in String Theory},
year = {2004}
}
@article{FeingoldFrenkel,
author = {Feingold, A. J. and Frenkel, I. B.},
doi = {10.1007/BF01457086},
journal = {Math. Ann.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {87},
title = {A hyperbolic Kac--Moody algebra and the theory of Siegel modular forms of genus 2},
volume = {263},
year = {1983}
}
@book{Fuchs,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Fuchs, J.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Cambridge University Press},
title = {Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory},
year = {1992}
}
@article{Kirillov1993,
author = {Kirillov, A. A.},
journal = {J. Exp. Theor. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {355--358},
title = {The Nature of the Spatial Distribution of Metric Inhomogeneities in the General Solution of the Einstein Equations near a Cosmological Singularity},
volume = {76},
year = {1993}
}
@article{IKM94,
author = {Ivashchuk, V. D. and Kirillov, A. A. and Melnikov, V. N.},
doi = {10.1007/BF00559221},
journal = {Russ. Phys. J.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {1102--1106},
title = {Stochastic behavior of multidimensional cosmological models near a singularity},
volume = {37},
year = {1994}
}
@article{IvKiMe94,
author = {Ivashchuk, V. D. and Melnikov, V. N. and Kirillov, A. A.},
journal = {JETP Lett.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {235--239},
title = {Stochastic properties of multidimensional cosmological models near a singular point},
volume = {60},
year = {1994}
}
@article{KiMe,
author = {Kirillov, A. A. and Melnikov, V. N.},
cited = {19 October 2007},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/9408004},
pages = {723--729},
title = {Dynamics of inhomogeneities of metric in the vicinity of a singularity in multidimensional cosmology},
volume = {52},
year = {1995}
}
@article{IvMe,
author = {Ivashchuk, V. D. and Melnikov, V. N.},
cited = {19 October 2007},
doi = {10.1088/0264-9381/12/3/017},
journal = {Class. Quantum Grav.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/9407028},
pages = {809--826},
title = {Billiard representation for multidimensional cosmology with multicomponent perfect fluid near the singularity},
volume = {12},
year = {1995}
}
@article{Ivashchuk:1999rm,
author = {Ivashchuk, V. D. and Melnikov, V. N.},
cited = {19 October 2007},
doi = {10.1063/1.1286671},
journal = {J. Math. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/9904077},
pages = {6341--6363},
title = {Billiard representation for multidimensional cosmology with intersecting $p$-branes near the singularity},
volume = {41},
year = {2000}
}
@preprint{Misnerb,
author = {Misner, C. W.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {The Mixmaster cosmological metrics},
url = {http://arXiv.org/abs/gr-qc/9405068},
year = {1994}
}
@article{Ma69,
author = {Margulis, G. A.},
journal = {Funct. Anal. Appl.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {335--336},
title = {Applications of ergodic theory to the investigation of manifolds of negative curvature},
volume = {4},
year = {1969}
}
@book{Z84,
address = {Boston, U.S.A.},
author = {Zimmer, R. J.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Birkh\"auser},
series = {Monographs in Mathematics},
title = {Ergodic Theory and Semisimple Groups},
volume = {81},
year = {1984}
}
@article{DHRW02,
author = {Damour, T. and Henneaux, M. and Rendall, A. D. and Weaver, M.},
cited = {19 October 2007},
doi = {10.1007/s000230200000},
eprint = {gr-qc/0202069},
journal = {Ann. Henri Poincare},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0202069},
pages = {1049--1111},
title = {Kasner-like behaviour for subcritical Einstein-matter systems},
volume = {3},
year = {2002}
}
@article{DdRH88,
author = {Demaret, J. and De Rop, Y. and Henneaux, M.},
doi = {10.1016/0370-2693(88)90803-9},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {37--41},
title = {Chaos in Nondiagonal Spatially Homogeneous Cosmological Models in Space-time Dimensions $\leq 10$},
volume = {211},
year = {1988}
}
@article{dBPS03,
author = {de Buyl, S. and Pinardi, G. and Schomblond, C.},
cited = {19 October 2007},
journal = {Class. Quantum Grav.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0306280},
pages = {5141--5160},
title = {Einstein billiards and spatially homogeneous cosmological models},
volume = {20},
year = {2003}
}
@article{DHN2,
author = {Damour, T. and Henneaux, M. and Nicolai, H.},
cited = {19 October 2007},
doi = {10.1103/PhysRevLett.89.221601},
eid = {221601},
journal = {Phys. Rev. Lett.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0207267},
title = {$E_{10}$ and a `small tension expansion' of M theory},
volume = {89},
year = {2002}
}
@article{BK1,
author = {Belinskii, V. A. and Khalatnikov, I. M.},
journal = {Sov. Phys. JETP},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {591--597},
title = {Effect of scalar and vector fields on the nature of the cosmological singularity},
volume = {36},
year = {1973}
}
@article{AR01,
author = {Andersson, L. and Rendall, A. D.},
cited = {19 October 2007},
doi = {10.1007/s002200100406},
eprint = {gr-qc/0001047},
journal = {Commun. Math. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0001047},
pages = {479--511},
title = {Quiescent cosmological singularities},
volume = {218},
year = {2001}
}
@article{Gar04,
author = {Garfinkle, D.},
cited = {19 October 2007},
doi = {10.1103/PhysRevLett.93.161101},
eid = {161101},
eprint = {gr-qc/0312117},
journal = {Phys. Rev. Lett.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0312117},
title = {Numerical simulations of generic singuarities},
volume = {93},
year = {2004}
}
@article{Andersson06,
author = {Andersson, L.},
cited = {19 October 2007},
doi = {10.1088/0264-9381/23/16/S02},
journal = {Class. Quantum Grav.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0607065},
pages = {S307--S318},
title = {On the relation between mathematical and numerical relativity},
volume = {23},
year = {2006}
}
@incollection{Rendall,
address = {Singapore},
author = {Rendall, A. D.},
booktitle = {100 Years of Relativity. Space-Time Structure: Einstein and Beyond},
cited = {19 October 2007},
editor = {Ashtekar, A.},
gbs_id = {8jzSKJAswMwC},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0503112},
publisher = {World Scientific},
title = {The Nature of Spacetime Singularities},
year = {2005}
}
@article{UEWE03,
author = {Uggla, C. and van Elst, H. and Wainwright, J. and Ellis, G. F. R.},
cited = {19 October 2007},
doi = {10.1103/PhysRevD.68.103502},
eid = {103502},
eprint = {gr-qc/0304002},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0304002},
title = {The past attractor in inhomogeneous cosmology},
volume = {68},
year = {2003}
}
@article{Ringstrom:2000mk,
author = {Ringstr{\"{o}}m, H.},
cited = {19 October 2007},
doi = {10.1007/PL00001041},
eprint = {gr-qc/0006035},
journal = {Ann. Henri Poincare},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0006035},
pages = {405--500},
title = {The Bianchi IX attractor},
volume = {2},
year = {2001}
}
@article{Cornish:1996hx,
author = {Cornish, N. J. and Levin, J. J.},
cited = {19 October 2007},
eprint = {gr-qc/9612066},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/9612066},
pages = {7489--7510},
title = {Mixmaster universe: A chaotic Farey tale},
volume = {55},
year = {1997}
}
@article{Elskens:1987gj,
author = {Elskens, Y. and Henneaux, M.},
doi = {10.1016/0550-3213(87)90180-5},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {111--136},
title = {Ergodic theory of the mixmaster model in higher space-time dimensions},
volume = {290},
year = {1987}
}
@article{Chernoff83,
author = {Chernoff, D. F. and Barrow, J. D.},
doi = {10.1103/PhysRevLett.50.134},
journal = {Phys. Rev. Lett.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {134--137},
title = {Chaos in the Mixmaster Universe},
volume = {50},
year = {1983}
}
@article{KLKSS85,
author = {Khalatnikov, I. M. and Lifshitz, E. M. and Khanin, K. M. and Shchur, L. N. and Sinai, Y. G.},
doi = {10.1007/BF01017851},
journal = {J. Stat. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {97--114},
title = {On the Stochasticity in Relativistic Cosmology},
volume = {38},
year = {1985}
}
@article{LLK71,
author = {Lifshitz, E. M. and Lifshitz, I. M. and Khalatnikov, I. M.},
journal = {Sov. Phys. JETP},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {173},
title = {Asymptotic analysis of oscillatory mode of approach to a singularity in homogeneous cosmological models},
volume = {32},
year = {1971}
}
@article{Chapline:1982ww,
author = {Chapline, G. F. and Manton, N. S.},
doi = {10.1016/0370-2693(83)90633-0},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {105--109},
title = {Unification of Yang--Mills Theory and Supergravity in Ten Dimensions},
volume = {120},
year = {1983}
}
@article{pvnetal,
author = {Bergshoeff, E. A. and de Roo, M. and de Wit, B. and van Nieuwenhuizen, P.},
doi = {10.1016/0550-3213(82)90050-5},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {97--136},
title = {Ten-dimensional Maxwell--Einstein supergravity, its currents, and the issue of its auxiliary fields},
volume = {195},
year = {1982}
}
@book{Ap97,
address = {New York, U.S.A.},
author = {Apostol, T. M.},
edition = {2nd},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Springer},
series = {Graduate Texts in Mathematics},
title = {Modular Functions and Dirichlet Series in Number Theory},
volume = {41},
year = {1997}
}
@book{Humphreys,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Humphreys, J. E.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Cambridge University Press},
series = {Cambridge Studies in Advanced Mathematics},
title = {Reflection Groups and Coxeter Groups},
volume = {29},
year = {1990}
}
@book{Vinberg,
address = {Berlin, Germany; New York, U.S.A.},
editor = {Vinberg, E. B.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Springer},
series = {Encyclopaedia of Mathematical Sciences},
title = {Geometry II: Spaces of Constant Curvature},
volume = {29},
year = {1993}
}
@article{Saclioglu89,
author = {Sa{\c{c}}lio{\u{g}}lu, C.},
journal = {J. Phys. A: Math. Gen.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {3753},
title = {Dynkin diagrams for hyperbolic Kac--Moody algebras},
volume = {22},
year = {1989}
}
@article{deBuyl:2004md,
author = {de Buyl, S. and Schomblond, C.},
cited = {19 October 2007},
doi = {10.1063/1.1806537},
journal = {J. Math. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0403285},
pages = {4464--4492},
title = {Hyperbolic Kac Moody algebras and Einstein billiards},
volume = {45},
year = {2004}
}
@article{Heinzle:2007kv,
author = {Heinzle, J. M. and Uggla, C. and R{\"{o}}hr, N.},
cited = {19 October 2007},
eprint = {gr-qc/0702141},
journal = {Adv. Theor. Math. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {293--407},
title = {The cosmological billiard attractor},
volume = {13},
year = {2009}
}
@article{Fischbacher:2005fy,
author = {Fischbacher, T.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2005/08/012},
eid = {012},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {08},
onlineversion = {http://arXiv.org/abs/hep-th/0504230},
title = {The structure of $E_{10}$ at higher $A_{9}$ levels: A first algorithmic approach},
volume = {2005},
year = {2005}
}
@article{E10andIIA,
author = {Kleinschmidt, A. and Nicolai, H.},
cited = {19 October 2007},
eid = {041},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {07},
onlineversion = {http://arXiv.org/abs/hep-th/0407101},
title = {$E_{10}$ and $SO(9,9)$ invariant supergravity},
volume = {2004},
year = {2004}
}
@article{E10andIIB,
author = {Kleinschmidt, A. and Nicolai, H.},
cited = {19 October 2007},
doi = {10.1016/j.physletb.2004.12.006},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0411225},
pages = {391--402},
title = {IIB supergravity and $E_{10}$},
volume = {606},
year = {2005}
}
@book{Fuchs:1997jv,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Fuchs, J. and Schweigert, C.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Cambridge University Press},
title = {Symmetries, Lie Algebras and Representations: A graduate course for physicists},
year = {1997}
}
@article{Henneaux:2006gp,
author = {Henneaux, M. and Leston, M. and Persson, D. and Spindel, P.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2006/10/021},
eid = {021},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {10},
onlineversion = {http://arXiv.org/abs/hep-th/0606123},
title = {Geometric configurations, regular subalgebras of $E_{10}$ and M-theory cosmology},
volume = {2006},
year = {2006}
}
@article{Dynkin:1957um,
author = {Dynkin, E. B.},
journal = {Trans. Amer. Math. Soc.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {111},
title = {Semisimple subalgebras of semisimple Lie algebras},
volume = {6},
year = {1957}
}
@article{Brown:2004ar,
author = {Brown, J. and Ganguli, S. and Ganor, O. J. and Helfgott, C.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2005/06/057},
eid = {057},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {06},
onlineversion = {http://arXiv.org/abs/hep-th/0409037},
title = {$E_{10}$ orbifolds},
volume = {2005},
year = {2005}
}
@inproceedings{Ruuska:1991ne,
address = {Singapore; River Edge, U.S.A.},
author = {Ruuska, V.},
booktitle = {Topological and Geometrical Methods in Field Theory},
conference = {Proceedings of the conference, Turku, Finland, 26 May\,--\,1 June 1991},
editor = {Mickelsson, J. and Pekonen, O.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {359--369},
publisher = {World Scientific},
title = {On purely hyperbolic Kac--Moody algebras},
year = {1992}
}
@article{Kac1984,
author = {Kac, V. G.},
doi = {10.1073/pnas.81.2.645},
journal = {Proc. Natl. Acad. Sci. USA},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {645--647},
title = {Laplace operators of infinite-dimensional Lie algebras and theta functions},
volume = {81},
year = {1984}
}
@article{Alekseev:2007in,
author = {Alekseev, A. and Monnier, S.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2007/08/039},
eid = {039},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {08},
onlineversion = {http://arXiv.org/abs/hep-th/0702174},
title = {Quantization of Wilson loops in Wess--Zumino--Witten models},
volume = {2007},
year = {2007}
}
@inproceedings{Julia:1980gr,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Julia, B.},
booktitle = {Superspace and Supergravity},
conference = {Nuffield Gravity Workshop, Cambridge, England, June 22\,--\,July 12, 1980},
editor = {Hawking, S. W. and Ro{\v{c}}ek, M.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Cambridge University Press},
title = {Group disintegrations},
year = {1981}
}
@book{Bahls,
address = {London, U.K.},
author = {Bahls, P.},
gbs_id = {rH-RbaZT8A8C},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Imperial College Press},
title = {The Isomorphism Problem in Coxeter Groups},
year = {2005}
}
@preprint{Keurentjes:2005jw,
author = {Keurentjes, A.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Poincare duality and $G^{+++}$ algebras},
url = {http://arXiv.org/abs/hep-th/0510212},
year = {2005}
}
@unpublished{DPDW,
author = {Henneaux, M. and Persson, D. and Wesley, D. H.},
format = {unknown},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
note = {Work in progress},
title = {Chaos, Cohomology and Coxeter Groups}
}
@article{CompatibilityConditions,
author = {Damour, T. and Hanany, A. and Henneaux, M. and Kleinschmidt, A. and Nicolai, H.},
cited = {19 October 2007},
doi = {10.1007/s10714-006-0317-y},
journal = {Gen. Relativ. Gravit.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0604143},
pages = {1507--1528},
title = {Curvature corrections and Kac--Moody compatibility conditions},
volume = {38},
year = {2006}
}
@book{Knapp,
address = {Boston, U.S.A.},
author = {Knapp, A. W.},
edition = {2nd},
gbs_id = {U573NrppkA8C},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Birkh\"auser},
series = {Progress in Mathematics},
title = {Lie Groups Beyond an Introduction},
volume = {140},
year = {2002}
}
@inproceedings{Tits,
address = {Providence, U.S.A.},
author = {Tits, J.},
booktitle = {Algebraic Groups and Discontinuous Subgroups},
conference = {Proceedings of the Symposium in Pure Mathematics of the AMS held at the University of Colorado, Boulder, Colorado, July 5\,--\,August 6, 1965},
editor = {Borel, A. and Mostow, G. D.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {33--62},
publisher = {American Mathematical Society},
series = {Proc. Symp. Pure Math.},
title = {Classification of algebraic semisimple groups},
volume = {9},
year = {1966}
}
@article{Cartan,
author = {Cartan, E.},
journal = {Ann. Sci. Ec. Norm. Sup. (3)},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {345--467},
title = {Sur certaines formes riemanniennes remarquables des g\'eom\'etries \`a groupe fondamental simple},
volume = {44},
year = {1927}
}
@preprint{Uggla:2007bx,
author = {Uggla, C.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {The Nature of Generic Cosmological Singularities},
url = {http://arXiv.org/abs/0706.0463},
year = {2007}
}
@article{Forte:2005uy,
author = {Forte, L. A. and Sciarrino, A.},
cited = {19 October 2007},
doi = {10.1063/1.2162128},
journal = {J. Math. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0506048},
pages = {013513},
title = {Standard and non-standard extensions of Lie algebras},
volume = {47},
year = {2006}
}
@preprint{DamourNicolaiLowLevels,
author = {Damour, T. and Nicolai, H.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Eleven dimensional supergravity and the $E_{10}/K(E_{10})$ sigma-model at low $A_9$ levels},
url = {http://arXiv.org/abs/hep-th/0410245},
year = {2004}
}
@article{SymmetryOfMtheories,
author = {Englert, F. and Houart, L. and Taormina, A. and West, P. C.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2003/09/020},
eid = {020},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {09},
onlineversion = {http://arXiv.org/abs/hep-th/0304206},
title = {The symmetry of M-theories},
volume = {2003},
year = {2003}
}
@article{E11andMtheory,
author = {West, P. C.},
cited = {19 October 2007},
doi = {10.1088/0264-9381/18/21/305},
journal = {Class. Quantum Grav.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0104081},
pages = {4443--4460},
title = {$E_{11}$ and M theory},
volume = {18},
year = {2001}
}
@article{FromE11toE10,
author = {Englert, F. and Henneaux, M. and Houart, L.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2005/02/070},
eid = {070},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {02},
onlineversion = {http://arXiv.org/abs/hep-th/0412184},
title = {From very-extended to overextended gravity and M-theories},
volume = {2005},
year = {2005}
}
@preprint{E9multiplets,
author = {Englert, F. and Houart, L. and Kleinschmidt, A. and Nicolai, H. and Tabti, N.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {An $E_9$ multiplet of BPS states},
url = {http://arXiv.org/abs/hep-th/0703285},
year = {2007}
}
@article{E9Geroch,
author = {Nicolai, H.},
doi = {10.1016/0370-2693(87)91072-0},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {402},
title = {The integrability of $N=16$ supergravity},
volume = {194},
year = {1987}
}
@article{BenMessaoud:2006ug,
author = {Ben Messaoud, H.},
journal = {J. Phys. A: Math. Gen.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {13659--13690},
title = {Almost split real forms for hyperbolic Kac--Moody Lie algebras},
volume = {39},
year = {2006}
}
@article{deBuyl:2003ub,
author = {de Buyl, S. and Henneaux, M. and Julia, B. and Paulot, L.},
cited = {19 October 2007},
doi = {10.1002/prop.200310143},
journal = {Fortschr. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0312251},
pages = {548--554},
title = {Cosmological billiards and oxidation},
volume = {52},
year = {2004}
}
@article{Keurentjes:2002xc,
author = {Keurentjes, A.},
cited = {19 October 2007},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0210178},
pages = {303--347},
title = {The group theory of oxidation},
volume = {658},
year = {2003}
}
@article{Keurentjes:2002rc,
author = {Keurentjes, A.},
cited = {19 October 2007},
doi = {10.1016/S0550-3213(03)00179-2},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0212024},
pages = {348--372},
title = {The group theory of oxidation. II: Cosets of non-split groups},
volume = {658},
year = {2003}
}
@article{Cremmer:1978ds,
author = {Cremmer, E. and Julia, B.},
doi = {10.1016/0370-2693(78)90303-9},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {48},
title = {The $N=8$ Supergravity Theory. 1. The Lagrangian},
volume = {80},
year = {1978}
}
@article{Cremmer:1979up,
author = {Cremmer, E. and Julia, B.},
doi = {10.1016/0550-3213(79)90331-6},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {141},
title = {The $SO(8)$ Supergravity},
volume = {159},
year = {1979}
}
@article{Marcus:1983hb,
author = {Marcus, N. and Schwarz, J. H.},
doi = {10.1016/0550-3213(83)90402-9},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {145},
title = {Three-Dimensional Supergravity Theories},
volume = {228},
year = {1983}
}
@article{deBuyl:2005zy,
author = {de Buyl, S. and Henneaux, M. and Paulot, L.},
cited = {19 October 2007},
journal = {Class. Quantum Grav.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0506009},
pages = {3595--3622},
title = {Hidden symmetries and Dirac fermions},
volume = {22},
year = {2005}
}
@article{deBuyl:2005mt,
author = {de Buyl, S. and Henneaux, M. and Paulot, L.},
cited = {19 October 2007},
eid = {056},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {02},
onlineversion = {http://arXiv.org/abs/hep-th/0512292},
title = {Extended $E_{8}$ invariance of 11-dimensional supergravity},
volume = {2006},
year = {2006}
}
@article{Schnakenburg:2002xx,
author = {Schnakenburg, I. and West, P. C.},
cited = {19 October 2007},
doi = {10.1016/S0370-2693(02)02124-X},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0204207},
pages = {137--145},
title = {Massive IIA supergravity as a non-linear realisation},
volume = {540},
year = {2002}
}
@preprint{Bergshoeff:2007qi,
author = {Bergshoeff, E. A. and De Baetselier, I. and Nutma, T. A.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {$E_{11}$ and the embedding tensor},
url = {http://arXiv.org/abs/0705.1304},
year = {2007}
}
@preprint{Riccioni:2007au,
author = {Riccioni, F. and West, P. C.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {The $E_{11}$ origin of all maximal supergravities},
url = {http://arXiv.org/abs/0705.0752},
year = {2007}
}
@article{Aurilia:1980xj,
author = {Aurilia, A. and Nicolai, H. and Townsend, P. K.},
doi = {10.1016/0550-3213(80)90466-6},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {509},
title = {Hidden Constants: The Theta Parameter of QCD and the Cosmological Constant of $N=8$ Supergravity},
volume = {176},
year = {1980}
}
@article{Henneaux:1984ji,
author = {Henneaux, M. and Teitelboim, C.},
doi = {10.1016/0370-2693(84)91493-X},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {415--420},
title = {The cosmological constant as a canonical variable},
volume = {143},
year = {1984}
}
@article{Bautier:1997yp,
author = {Bautier, K. and Deser, S. and Henneaux, M. and Seminara, D.},
cited = {19 October 2007},
doi = {10.1016/S0370-2693(97)00639-4},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/9704131},
pages = {49--53},
title = {No cosmological $D = 11$ supergravity},
volume = {406},
year = {1997}
}
@article{Damour:2005zs,
author = {Damour, T. and Kleinschmidt, A. and Nicolai, H.},
cited = {19 October 2007},
doi = {10.1016/j.physletb.2006.01.015},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0512163},
pages = {319--324},
title = {Hidden symmetries and the fermionic sector of eleven-dimensional supergravity},
volume = {634},
year = {2006}
}
@article{Damour:2006xu,
author = {Damour, T. and Kleinschmidt, A. and Nicolai, H.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2006/08/046},
eid = {046},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {08},
onlineversion = {http://arXiv.org/abs/hep-th/0606105},
title = {$K(E_{10})$, supergravity and fermions},
volume = {2006},
year = {2006}
}
@article{Damour:2005zb,
author = {Damour, T. and Nicolai, H.},
cited = {19 October 2007},
doi = {10.1088/0264-9381/22/14/003},
eprint = {hep-th/0504153},
journal = {Class. Quantum Grav.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0504153},
pages = {2849--2880},
title = {Higher order M-theory corrections and the Kac--Moody algebra $E_{10}$},
volume = {22},
year = {2005}
}
@article{Lambert:2006he,
author = {Lambert, N. and West, P. C.},
cited = {19 October 2007},
eid = {065002},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0603255},
title = {Enhanced coset symmetries and higher derivative corrections},
volume = {74},
year = {2006}
}
@preprint{Bao:2007er,
author = {Bao, L. and Cederwall, M. and Nilsson, B. E. W.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Aspects of higher curvature terms and U-duality},
url = {http://arXiv.org/abs/0706.1183},
year = {2007}
}
@article{Kantor,
author = {Kantor, S.},
journal = {Sitzungsber. Akad. Wiss. Wien},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {II},
pages = {1291--1314},
title = {Die Configurationen $(3,3)_{10}$},
volume = {84},
year = {1881}
}
@book{Hilbert,
address = {New York, U.S.A.},
author = {Hilbert, D. and Cohn-Vossen, S.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {Chelsea Pub. Co.},
title = {Geometry and the Imagination},
year = {1952}
}
@article{Page,
author = {Page, W. and Dorwart, H. L.},
journal = {Math. Mag.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {2},
pages = {82--92},
title = {Numerical Patterns and geometric Configurations},
volume = {57},
year = {1984}
}
@article{Schnakenburg:2001ya,
author = {Schnakenburg, I. and West, P. C.},
cited = {19 October 2007},
doi = {10.1016/S0370-2693(01)01044-9},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0107181},
pages = {421--428},
title = {Kac--Moody symmetries of IIB supergravity},
volume = {517},
year = {2001}
}
@article{Schnakenburg:2004vd,
author = {Schnakenburg, I. and West, P. C.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2004/05/019},
eid = {019},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {05},
onlineversion = {http://arXiv.org/abs/hep-th/0401196},
title = {Kac--Moody symmetries of ten-dimensional non-maximal supergravity theories},
volume = {2004},
year = {2004}
}
@article{West:2004st,
author = {West, P. C.},
cited = {19 October 2007},
doi = {10.1016/j.nuclphysb.2004.06.004},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0402140},
pages = {76--102},
title = {The IIA, IIB and eleven dimensional theories and their common $E_{11}$ origin},
volume = {693},
year = {2004}
}
@article{Henneaux:1988gg,
author = {Henneaux, M. and Teitelboim, C.},
doi = {10.1016/0370-2693(88)90712-5},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {650--654},
title = {Dynamics of chiral (self-dual) $p$-forms},
volume = {206},
year = {1988}
}
@article{Deser:1997mz,
author = {Deser, S. and Gomberoff, A. and Henneaux, M. and Teitelboim, C.},
cited = {19 October 2007},
doi = {10.1016/S0370-2693(97)00338-9},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/9702184},
pages = {80--86},
title = {Duality, self-duality, sources and charge quantization in abelian $N$-form theories},
volume = {400},
year = {1997}
}
@article{Schwarz:1993vs,
archiveprefix = {arXiv},
author = {Schwarz, J. H. and Sen, A.},
cited = {19 October 2007},
doi = {10.1016/0550-3213(94)90053-1},
eprint = {hep-th/9304154},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/9304154},
pages = {35--63},
primaryclass = {hep-th},
title = {Duality symmetric actions},
volume = {411},
year = {1994}
}
@article{Henneaux:2004jw,
author = {Henneaux, M. and Teitelboim, C.},
cited = {19 October 2007},
eid = {024018},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0408101},
title = {Duality in linearized gravity},
volume = {71},
year = {2005}
}
@article{Deser:1976iy,
author = {Deser, S. and Teitelboim, C.},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {1592--1597},
title = {Duality Transformations of Abelian and Nonabelian Gauge Fields},
volume = {13},
year = {1976}
}
@article{Boulanger:2003vs,
author = {Boulanger, N. and Cnockaert, S. and Henneaux, M.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2003/06/060},
eid = {060},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {06},
onlineversion = {http://arXiv.org/abs/hep-th/0306023},
title = {A note on spin-s duality},
volume = {2003},
year = {2003}
}
@article{Spindel:1992md,
author = {Spindel, P. and Zinque, M.},
doi = {10.1142/S0218271893000210},
journal = {Int. J. Mod. Phys. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {279--294},
title = {Asymptotic behavior of the Bianchi IX cosmological models in the $R^2$ theory of gravity},
volume = {2},
year = {1993}
}
@article{Julia:2005ze,
author = {Julia, B. and Levie, J. and Ray, S.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2005/11/025},
eid = {025},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {11},
onlineversion = {http://arXiv.org/abs/hep-th/0507262},
title = {Gravitational duality near de Sitter space},
volume = {2005},
year = {2005}
}
@unpublished{Henry-Labordere:2003rd,
author = {Henry-Labordere, P. and Julia, B. and Paulot, L.},
cited = {19 October 2007},
conference = {Cargese 2002},
format = {conference paper},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0303178},
title = {Symmetries in M-theory: Monsters, Inc},
year = {2003}
}
@article{Henry-Labordere:2002xh,
author = {Henry-Labordere, P. and Julia, B. and Paulot, L.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2003/04/060},
eid = {060},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {04},
onlineversion = {http://arXiv.org/abs/hep-th/0212346},
title = {Real Borcherds superalgebras and M-theory},
volume = {2003},
year = {2003}
}
@article{Henry-Labordere:2002dk,
author = {Henry-Labordere, P. and Julia, B. and Paulot, L.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2002/04/049},
eid = {049},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {04},
onlineversion = {http://arXiv.org/abs/hep-th/0203070},
title = {Borcherds symmetries in M-theory},
volume = {2002},
year = {2002}
}
@article{DeWitt:1967yk,
author = {DeWitt, B. S.},
journal = {Phys. Rev.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {1113--1148},
title = {Quantum theory of gravity. I. The canonical theory},
volume = {160},
year = {1967}
}
@preprint{West:2007mh,
author = {West, P. C.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {$E_{11}$ and Higher Spin Theories},
url = {http://arXiv.org/abs/hep-th/0701026},
year = {2007}
}
@preprint{Riccioni:2007hm,
author = {Riccioni, F. and Steele, D. and West, P.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Duality Symmetries and $G^{+++}$ Theories},
url = {http://arXiv.org/abs/0706.3659},
year = {2007}
}
@article{Bekaert:2002uh,
author = {Bekaert, X. and Boulanger, N. and Henneaux, M.},
cited = {19 October 2007},
eid = {044010},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0210278},
title = {Consistent deformations of dual formulations of linearized gravity: A no-go result},
volume = {67},
year = {2003}
}
@article{Curtright:1980yk,
adsurl = {http://adsabs.harvard.edu/abs/1985PhLB..165..304C},
author = {Curtright, T.},
doi = {10.1016/0370-2693(85)91235-3},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {304--208},
title = {Generalized gauge fields},
volume = {165},
year = {1985}
}
@article{Cremmer:1998px,
author = {Cremmer, E. and Julia, B. and Lu, H. and Pope, C. N.},
cited = {19 October 2007},
doi = {10.1016/S0550-3213(98)00552-5},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/9806106},
pages = {242--292},
title = {Dualisation of dualities. II: Twisted self-duality of doubled fields and superdualities},
volume = {535},
year = {1998}
}
@article{Bunster:2006rt,
author = {Bunster, C. and Cnockaert, S. and Henneaux, M. and Portugues, R.},
cited = {19 October 2007},
eid = {105014},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0601222},
title = {Monopoles for gravitation and for higher spin fields},
volume = {73},
year = {2006}
}
@article{Bunster:2007sn,
author = {Bunster, C. and Henneaux, M.},
cited = {19 October 2007},
doi = {10.1073/pnas.0705043104},
journal = {Proc. Natl. Acad. Sci. USA},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0703155},
pages = {12243--12249},
title = {A monopole near a black hole},
volume = {104},
year = {2007}
}
@article{Henneaux:2006bw,
author = {Henneaux, M. and Leston, M. and Persson, D. and Spindel, P.},
cited = {19 October 2007},
doi = {10.1063/1.2738754},
journal = {J. Math. Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0610278},
pages = {053512},
title = {A Special Class of Rank 10 and 11 Coxeter Groups},
volume = {48},
year = {2007}
}
@article{Cremmer:1997ct,
author = {Cremmer, E. and Julia, B. and Lu, H. and Pope, C. N.},
cited = {19 October 2007},
doi = {10.1016/S0550-3213(98)00136-9},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/9710119},
pages = {73--144},
title = {Dualisation of dualities. I},
volume = {523},
year = {1998}
}
@article{Lambert:2006ny,
author = {Lambert, N. and West, P. C.},
cited = {19 October 2007},
eid = {066002},
journal = {Phys. Rev. D},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0611318},
title = {Duality groups, automorphic forms and higher derivative corrections},
volume = {75},
year = {2007}
}
@article{Michel:2007vh,
author = {Michel, Y. and Pioline, B.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2007/09/103},
eid = {103},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {09},
onlineversion = {http://arXiv.org/abs/0706.1769},
title = {Higher Derivative Corrections, Dimensional Reduction and Ehlers Duality},
volume = {2007},
year = {2007}
}
@article{Gross:1984dd,
author = {Gross, D. J. and Harvey, J. A. and Martinec, E. J. and Rohm, R.},
doi = {10.1103/PhysRevLett.54.502},
journal = {Phys. Rev. Lett.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {502--505},
title = {The Heterotic String},
volume = {54},
year = {1985}
}
@article{Kleinschmidt:2006dy,
author = {Kleinschmidt, A. and Nicolai, H. and Palmkvist, J.},
cited = {19 October 2007},
eid = {051},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {06},
onlineversion = {http://arXiv.org/abs/hep-th/0611314},
title = {$K(E_9)$ from $K(E_{10})$},
volume = {2007},
year = {2007}
}
@article{Brown:2004jb,
author = {Brown, J. and Ganor, O. J. and Helfgott, C.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2004/08/063},
eid = {063},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {08},
onlineversion = {http://arXiv.org/abs/hep-th/0401053},
title = {M-theory and $E_{10}$: Billiards, branes, and imaginary roots},
volume = {2004},
year = {2004}
}
@article{Russo:1997mk,
author = {Russo, J. G. and Tseytlin, A. A.},
cited = {19 October 2007},
doi = {10.1016/S0550-3213(97)00631-7},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/9707134},
pages = {245--259},
title = {One-loop four-graviton amplitude in eleven-dimensional supergravity},
volume = {508},
year = {1997}
}
@book{Loos,
address = {New York, U.S.A.},
author = {Loos, O.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
publisher = {W.A. Benjamin},
title = {Symmetric Spaces, 2 vols.},
year = {1969}
}
@incollection{Helminck,
address = {Amsterdam, Netherlands},
author = {Helminck, A. G.},
booktitle = {The structure of real semisimple Lie groups},
editor = {Koornwinder, T. H.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {113--136},
publisher = {Math. Centrum},
series = {MC Syllabus},
title = {Classification of real semisimple Lie algebras},
volume = {49},
year = {1982}
}
@article{Green:2005ba,
author = {Green, M. B. and Vanhove, P.},
cited = {19 October 2007},
doi = {10.1088/1126-6708/2006/01/093},
eid = {093},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {01},
onlineversion = {http://arXiv.org/abs/hep-th/0510027},
title = {Duality and higher derivative terms in M theory},
volume = {2006},
year = {2006}
}
@preprint{Constraints,
author = {Damour, T. and Kleinschmidt, A. and Nicolai, H.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Constraints and the $E_{10}$ Coset Model},
url = {http://arXiv.org/abs/0709.2691},
year = {2007}
}
@preprint{Caprace,
author = {Caprace, P. E.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Conjugacy of one-ended subgroups of Coxeter groups and parallel walls},
url = {http://arXiv.org/abs/math.GR/0508057},
year = {2005}
}
@article{Fre:2003ep,
author = {Fr{\'{e}}, P. and Gargiulo, F. and Sorin, A. and Rulik, K. and Trigiante, M.},
cited = {19 October 2007},
doi = {10.1016/j.nuclphysb.2004.02.031},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0309237},
pages = {3--64},
title = {Cosmological backgrounds of superstring theory and solvable algebras: oxidation and branes},
volume = {685},
year = {2004}
}
@article{Fre:2003tg,
author = {Fr{\'{e}}, P. and Rulik, K. and Trigiante, M.},
cited = {19 October 2007},
doi = {10.1016/j.nuclphysb.2004.06.011},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0312189},
pages = {239--274},
title = {Exact solutions for Bianchi type cosmological metrics, Weyl orbits of $E_{8(8)}$ subalgebras and $p$-branes},
volume = {694},
year = {2004}
}
@article{Fre:2005sr,
author = {Fr{\'{e}}, P. and Gargiulo, F. and Rulik, K.},
cited = {19 October 2007},
doi = {10.1016/j.nuclphysb.2005.10.023},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0507256},
pages = {1--48},
title = {Cosmic billiards with painted walls in non-maximal supergravities: A worked out example},
volume = {737},
year = {2006}
}
@article{Fre:2005si,
author = {Fr{\'{e}}, P. and Gargiulo, F. and Rulik, K. and Trigiante, M.},
cited = {19 October 2007},
doi = {10.1016/j.nuclphysb.2006.02.001},
journal = {Nucl. Phys. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0507249},
pages = {42--82},
title = {The general pattern of Kac--Moody extensions in supergravity and the issue of cosmic billiards},
volume = {741},
year = {2006}
}
@preprint{Fre:2007hd,
author = {Fr{\'{e}}, P. and Sorin, A. S.},
cited = {19 October 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {The arrow of time and the Weyl group: all supergravity billiards are integrable},
url = {http://arXiv.org/abs/0710.1059},
year = {2007}
}
@preprint{SwedishGuys,
author = {Bao, L. and Bielecki, J. and Cederwall, M. and Nilsson, B. E. W. and Persson, D.},
cited = {1 November 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {U-Duality and the Compactified Gauss-Bonnet Term},
url = {http://arXiv.org/abs/0710.4907},
year = {2007}
}
@article{Hillmann:2006ic,
author = {Hillmann, C. and Kleinschmidt, A.},
cited = {19 October 2007},
doi = {10.1007/s10714-006-0352-8},
journal = {Gen. Relativ. Gravit.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0608092},
pages = {1861--1885},
title = {Pure type I supergravity and $DE_{10}$},
volume = {38},
year = {2006}
}
@article{Bagnoud:2006mz,
author = {Bagnoud, M. and Carlevaro, L.},
cited = {1 November 2007},
doi = {10.1088/1126-6708/2006/11/003},
eid = {003},
journal = {J. High Energy Phys.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
number = {11},
onlineversion = {http://arXiv.org/abs/hep-th/0607136},
title = {Hidden Borcherds symmetries in $Z_n$ orbifolds of M-theory and magnetized $D$-branes in type 0' orientifolds},
volume = {2006},
year = {2006}
}
@preprint{Damour:2007nb,
author = {Damour, T. and de Buyl, S.},
cited = {1 November 2007},
format = {arxiv},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
title = {Describing general cosmological singularities in Iwasawa variables},
url = {http://arXiv.org/abs/0710.5692},
year = {2007}
}
@article{Isenberg:2002jg,
author = {Isenberg, J. A. and Moncrief, V.},
cited = {7 December 2007},
doi = {10.1088/0264-9381/19/21/305},
journal = {Class. Quantum Grav.},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0203042},
pages = {5361--5386},
title = {Asymptotic behavior of polarized and half-polarized $U(1)$ symmetric vacuum spacetimes},
volume = {19},
year = {2002}
}
@article{Berger:1998vxa,
author = {Berger, B. K. and Garfinkle, D. and Isenberg, J. A. and Moncrief, V. and Weaver, M.},
cited = {7 December 2007},
eprint = {gr-qc/9805063},
journal = {Mod. Phys. Lett. A},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/9805063},
pages = {1565--1574},
title = {The singularity in generic gravitational collapse is spacelike, local, and oscillatory},
volume = {13},
year = {1998}
}
@article{Riccioni:2006az,
author = {Riccioni, F. and West, P. C.},
cited = {7 December 2007},
doi = {10.1016/j.physletb.2006.12.050},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
onlineversion = {http://arXiv.org/abs/hep-th/0612001},
pages = {286--292},
title = {Dual fields and $E_{11}$},
volume = {645},
year = {2007}
}
@article{Nicolai:1986jk,
author = {Nicolai, H.},
doi = {10.1016/0370-2693(87)91102-6},
journal = {Phys. Lett. B},
keywords = {Cosmology, Hyperbolic symmetry, Singularities},
pages = {316},
title = {$d = 11$ Supergravity With Local $SO(16)$ Invariance},
volume = {187},
year = {1987}
}