![]() |
1 | Alekseev, A., and Monnier, S., “Quantization of Wilson loops in Wess–Zumino–Witten models”,
J. High Energy Phys., 2007(08), 039, (2007). Related online version (cited on 19 October 2007):
![]() |
![]() |
2 | Andersson, L., “On the relation between mathematical and numerical relativity”, Class.
Quantum Grav., 23, S307–S318, (2006). Related online version (cited on 19 October 2007):
![]() |
![]() |
3 | Andersson, L., and Rendall, A.D., “Quiescent cosmological singularities”, Commun. Math.
Phys., 218, 479–511, (2001). Related online version (cited on 19 October 2007):
![]() |
![]() |
4 | Apostol, T.M., Modular Functions and Dirichlet Series in Number Theory, Graduate Texts in Mathematics, vol. 41, (Springer, New York, U.S.A., 1997), 2nd edition. |
![]() |
5 | Araki, S., “On root systems and an infinitesimal classification of irreducible symmetric spaces”, J. Math. Osaka City Univ., 13(1), 1–34, (1962). |
![]() |
6 | Argurio, R., Englert, F., and Houart, L., “Intersection rules for p-branes”, Phys. Lett. B, 398,
61–68, (1997). Related online version (cited on 19 October 2007):
![]() |
![]() |
7 | Aurilia, A., Nicolai, H., and Townsend, P.K., “Hidden Constants: The Theta Parameter of QCD and the Cosmological Constant of N = 8 Supergravity”, Nucl. Phys. B, 176, 509, (1980). |
![]() |
8 | Baez, J.C., “The Octonions”, (2001). URL (cited on 19 October 2007):
![]() |
![]() |
9 | Bagnoud, M., and Carlevaro, L., “Hidden Borcherds symmetries in Zn orbifolds of M-theory
and magnetized D-branes in type 0’ orientifolds”, J. High Energy Phys., 2006(11), 003, (2006).
Related online version (cited on 01 November 2007):
![]() |
![]() |
10 | Bahls, P., The Isomorphism Problem in Coxeter Groups, (Imperial College Press, London, U.K., 2005). |
![]() |
11 | Bao, L., Bielecki, J., Cederwall, M., Nilsson, B.E.W., and Persson, D., “U-Duality and the
Compactified Gauss-Bonnet Term”, (2007). URL (cited on 01 November 2007):
![]() |
![]() |
12 | Bao, L., Cederwall, M., and Nilsson, B.E.W., “Aspects of higher curvature terms and
U-duality”, (2007). URL (cited on 19 October 2007):
![]() |
![]() |
13 | Bautier, K., Deser, S., Henneaux, M., and Seminara, D., “No cosmological D = 11
supergravity”, Phys. Lett. B, 406, 49–53, (1997). Related online version (cited on 19 October
2007):
![]() |
![]() |
14 | Bekaert, X., Boulanger, N., and Henneaux, M., “Consistent deformations of dual formulations
of linearized gravity: A no-go result”, Phys. Rev. D, 67, 044010, (2003). Related online version
(cited on 19 October 2007):
![]() |
![]() |
15 | Belinskii, V.A., and Khalatnikov, I.M., “Effect of scalar and vector fields on the nature of the cosmological singularity”, Sov. Phys. JETP, 36, 591–597, (1973). |
![]() |
16 | Belinskii, V.A., Khalatnikov, I.M., and Lifshitz, E.M., “Oscillatory approach to a singular point in the relativistic cosmology”, Adv. Phys., 19, 525–573, (1970). |
![]() |
17 | Ben Messaoud, H., “Almost split real forms for hyperbolic Kac–Moody Lie algebras”, J. Phys. A, 39, 13659–13690, (2006). |
![]() |
18 | Berger, B.K., Garfinkle, D., Isenberg, J.A., Moncrief, V., and Weaver, M., “The singularity
in generic gravitational collapse is spacelike, local, and oscillatory”, Mod. Phys. Lett. A, 13,
1565–1574, (1998). Related online version (cited on 7 December 2007):
![]() |
![]() |
19 | Bergshoeff, E.A., De Baetselier, I., and Nutma, T.A., “E11 and the embedding tensor”, (2007).
URL (cited on 19 October 2007):
![]() |
![]() |
20 | Bergshoeff, E.A., de Roo, M., de Wit, B., and van Nieuwenhuizen, P., “Ten-dimensional Maxwell–Einstein supergravity, its currents, and the issue of its auxiliary fields”, Nucl. Phys. B, 195, 97–136, (1982). |
![]() |
21 | Boulanger, N., Cnockaert, S., and Henneaux, M., “A note on spin-s duality”, J. High Energy
Phys., 2003(06), 060, (2003). Related online version (cited on 19 October 2007):
![]() |
![]() |
22 | Breitenlohner, P., Maison, D., and Gibbons, G.W., “4-Dimensional Black Holes from
Kaluza–Klein Theories”, Commun. Math. Phys., 120, 295–333, (1988). URL (cited on 24 April
2008):
![]() |
![]() |
23 | Brown, J., Ganguli, S., Ganor, O.J., and Helfgott, C., “E10 orbifolds”, J. High Energy Phys.,
2005(06), 057, (2005). Related online version (cited on 19 October 2007):
![]() |
![]() |
24 | Brown, J., Ganor, O.J., and Helfgott, C., “M-theory and E10: Billiards, branes, and imaginary
roots”, J. High Energy Phys., 2004(08), 063, (2004). Related online version (cited on 19 October
2007):
![]() |
![]() |
25 | Bunster, C., Cnockaert, S., Henneaux, M., and Portugues, R., “Monopoles for gravitation and
for higher spin fields”, Phys. Rev. D, 73, 105014, (2006). Related online version (cited on 19
October 2007):
![]() |
![]() |
26 | Bunster, C., and Henneaux, M., “A monopole near a black hole”, Proc. Natl. Acad. Sci. USA,
104, 12243–12249, (2007). Related online version (cited on 19 October 2007):
![]() |
![]() |
27 | Caprace, P.E., “Conjugacy of one-ended subgroups of Coxeter groups and parallel walls”,
(2005). URL (cited on 19 October 2007):
![]() |
![]() |
28 | Cartan, E., “Sur certaines formes riemanniennes remarquables des géométries à groupe fondamental simple”, Ann. Sci. Ecole Norm. Sup., 44, 345–467, (1927). |
![]() |
29 | Chapline, G.F., and Manton, N.S., “Unification of Yang–Mills Theory and Supergravity in Ten Dimensions”, Phys. Lett. B, 120, 105–109, (1983). |
![]() |
30 | Chernoff, D.F., and Barrow, J.D., “Chaos in the Mixmaster Universe”, Phys. Rev. Lett., 50, 134–137, (1983). |
![]() |
31 | Chitre, D.M., Investigations of Vanishing of a Horizon for Bianchy Type X (the Mixmaster), Ph.D. Thesis, (University of Maryland, College Park, U.S.A., 1972). |
![]() |
32 | Cornish, N.J., and Levin, J.J., “Mixmaster universe: A chaotic Farey tale”, Phys. Rev. D, 55,
7489–7510, (1997). Related online version (cited on 19 October 2007):
![]() |
![]() |
33 | Cremmer, E., and Julia, B., “The N = 8 Supergravity Theory. 1. The Lagrangian”, Phys. Lett. B, 80, 48, (1978). |
![]() |
34 | Cremmer, E., and Julia, B., “The SO(8) Supergravity”, Nucl. Phys. B, 159, 141, (1979). |
![]() |
35 | Cremmer, E., Julia, B., Lu, H., and Pope, C.N., “Dualisation of dualities. I”, Nucl. Phys. B,
523, 73–144, (1998). Related online version (cited on 19 October 2007):
![]() |
![]() |
36 | Cremmer, E., Julia, B., Lu, H., and Pope, C.N., “Dualisation of dualities. II: Twisted
self-duality of doubled fields and superdualities”, Nucl. Phys. B, 535, 242–292, (1998). Related
online version (cited on 19 October 2007):
![]() |
![]() |
37 | Cremmer, E., Julia, B., Lü, H., and Pope, C.N., “Higher-dimensional Origin of D = 3 Coset
Symmetries”, (1999). URL (cited on 19 October 2007):
![]() |
![]() |
38 | Cremmer, E., Julia, B., and Scherk, J., “Supergravity theory in 11 dimensions”, Phys. Lett. B, 76, 409–412, (1978). |
![]() |
39 | Curtright, T., “Generalized gauge fields”, Phys. Lett. B, 165, 304–208, (1985).
ADS: ![]() |
![]() |
40 | Damour, T., and de Buyl, S., “Describing general cosmological singularities in Iwasawa
variables”, (2007). URL (cited on 01 November 2007):
![]() |
![]() |
41 | Damour, T., de Buyl, S., Henneaux, M., and Schomblond, C., “Einstein billiards and
overextensions of finite-dimensional simple Lie algebras”, J. High Energy Phys., 2002(08), 030,
(2002). Related online version (cited on 19 October 2007):
![]() |
![]() |
42 | Damour, T., Hanany, A., Henneaux, M., Kleinschmidt, A., and Nicolai, H., “Curvature
corrections and Kac–Moody compatibility conditions”, Gen. Relativ. Gravit., 38, 1507–1528,
(2006). Related online version (cited on 19 October 2007):
![]() |
![]() |
43 | Damour, T., and Henneaux, M., “Chaos in superstring cosmology”, Phys. Rev. Lett., 85,
920–923, (2000). Related online version (cited on 19 October 2007):
![]() |
![]() |
44 | Damour, T., and Henneaux, M., “Oscillatory behaviour in homogeneous string cosmology
models”, Phys. Lett. B, 488, 108–116, (2000). Related online version (cited on 19 October
2007):
![]() |
![]() |
45 | Damour, T., and Henneaux, M., “E10,BE10 and arithmetical chaos in superstring cosmology”,
Phys. Rev. Lett., 86, 4749–4752, (2001). Related online version (cited on 19 October 2007):
![]() |
![]() |
46 | Damour, T., Henneaux, M., Julia, B., and Nicolai, H., “Hyperbolic Kac–Moody algebras and
chaos in Kaluza–Klein models”, Phys. Lett. B, 509, 323–330, (2001). Related online version
(cited on 19 October 2007):
![]() |
![]() |
47 | Damour, T., Henneaux, M., and Nicolai, H., “E10 and a ‘small tension expansion’ of M theory”,
Phys. Rev. Lett., 89, 221601, (2002). Related online version (cited on 19 October 2007):
![]() |
![]() |
48 | Damour, T., Henneaux, M., and Nicolai, H., “Cosmological Billiards”, Class. Quantum Grav.,
20, R145–R200, (2003). Related online version (cited on 19 October 2007):
![]() |
![]() |
49 | Damour, T., Henneaux, M., Rendall, A.D., and Weaver, M., “Kasner-Like Behaviour for
Subcritical Einstein–Matter Systems”, Ann. Henri Poincare, 3, 1049–1111, (2002). Related
online version (cited on 19 October 2007):
![]() |
![]() |
50 | Damour, T., Kleinschmidt, A., and Nicolai, H., “Hidden symmetries and the fermionic sector of
eleven-dimensional supergravity”, Phys. Lett. B, 634, 319–324, (2006). Related online version
(cited on 19 October 2007):
![]() |
![]() |
51 | Damour, T., Kleinschmidt, A., and Nicolai, H., “K(E10), supergravity and fermions”, J. High
Energy Phys., 2006(08), 046, (2006). Related online version (cited on 19 October 2007):
![]() |
![]() |
52 | Damour, T., Kleinschmidt, A., and Nicolai, H., “Constraints and the E10 Coset Model”, (2007).
URL (cited on 19 October 2007):
![]() |
![]() |
53 | Damour, T., and Nicolai, H., “Eleven dimensional supergravity and the E10∕K(E10)
sigma-model at low A9 levels”, (2004). URL (cited on 19 October 2007):
![]() |
![]() |
54 | Damour, T., and Nicolai, H., “Higher order M theory corrections and the Kac–Moody algebra
E10”, Class. Quantum Grav., 22, 2849–2880, (2005). Related online version (cited on 19 October
2007):
![]() |
![]() |
55 | de Buyl, S., Henneaux, M., Julia, B., and Paulot, L., “Cosmological billiards and oxidation”,
Fortschr. Phys., 52, 548–554, (2004). Related online version (cited on 19 October 2007):
![]() |
![]() |
56 | de Buyl, S., Henneaux, M., and Paulot, L., “Hidden symmetries and Dirac fermions”, Class.
Quantum Grav., 22, 3595–3622, (2005). Related online version (cited on 19 October 2007):
![]() |
![]() |
57 | de Buyl, S., Henneaux, M., and Paulot, L., “Extended E8 invariance of 11-dimensional
supergravity”, J. High Energy Phys., 2006(02), 056, (2006). Related online version (cited on
19 October 2007):
![]() |
![]() |
58 | de Buyl, S., Pinardi, G., and Schomblond, C., “Einstein billiards and spatially homogeneous
cosmological models”, Class. Quantum Grav., 20, 5141–5160, (2003). Related online version
(cited on 19 October 2007):
![]() |
![]() |
59 | de Buyl, S., and Schomblond, C., “Hyperbolic Kac Moody algebras and Einstein billiards”, J.
Math. Phys., 45, 4464–4492, (2004). Related online version (cited on 19 October 2007):
![]() |
![]() |
60 | Demaret, J., De Rop, Y., and Henneaux, M., “Chaos in Nondiagonal Spatially Homogeneous Cosmological Models in Space-time Dimensions ≤ 10”, Phys. Lett. B, 211, 37–41, (1988). |
![]() |
61 | Demaret, J., Hanquin, J.L., Henneaux, M., and Spindel, P., “Cosmological models in eleven-dimensional supergravity”, Nucl. Phys. B, 252, 538–560, (1985). |
![]() |
62 | Demaret, J., Hanquin, J.L., Henneaux, M., Spindel, P., and Taormina, A., “The fate of the mixmaster behavior in vacuum inhomogeneous Kaluza–Klein cosmological models”, Phys. Lett. B, 175, 129–132, (1986). |
![]() |
63 | Demaret, J., Henneaux, M., and Spindel, P., “No Oscillatory Behavior in vacuum Kaluza–Klein cosmologies”, Phys. Lett. B, 164, 27–30, (1985). |
![]() |
64 | Deser, S., Gomberoff, A., Henneaux, M., and Teitelboim, C., “Duality, self-duality, sources and
charge quantization in abelian N-form theories”, Phys. Lett. B, 400, 80–86, (1997). Related
online version (cited on 19 October 2007):
![]() |
![]() |
65 | Deser, S., and Teitelboim, C., “Duality Transformations of Abelian and Nonabelian Gauge Fields”, Phys. Rev. D, 13, 1592–1597, (1976). |
![]() |
66 | DeWitt, B.S., “Quantum Theory of Gravity. I. The Canonical Theory”, Phys. Rev., 160, 1113–1148, (1967). |
![]() |
67 | Dynkin, E.B., “Semisimple subalgebras of semisimple Lie algebras”, Trans. Amer. Math. Soc., 6, 111, (1957). |
![]() |
68 | Elskens, Y., and Henneaux, M., “Ergodic theory of the mixmaster model in higher space-time dimensions”, Nucl. Phys. B, 290, 111–136, (1987). |
![]() |
69 | Englert, F., Henneaux, M., and Houart, L., “From very-extended to overextended gravity and
M-theories”, J. High Energy Phys., 2005(02), 070, (2005). Related online version (cited on 19
October 2007):
![]() |
![]() |
70 | Englert, F., and Houart, L., “From brane dynamics to a Kac–Moody invariant formulation of
M-theories”, (2004). URL (cited on 19 October 2007):
![]() |
![]() |
71 | Englert, F., and Houart, L., “G+++ invariant formulation of gravity and M-theories: Exact
BPS solutions”, J. High Energy Phys., 2004(01), 002, (2004). Related online version (cited on
19 October 2007):
![]() |
![]() |
72 | Englert, F., and Houart, L., “G+++ invariant formulation of gravity and M-theories: Exact
intersecting brane solutions”, J. High Energy Phys., 2004(05), 059, (2004). Related online
version (cited on 19 October 2007):
![]() |
![]() |
73 | Englert, F., Houart, L., Kleinschmidt, A., Nicolai, H., and Tabti, N., “An E9 multiplet of BPS
states”, (2007). URL (cited on 19 October 2007):
![]() |
![]() |
74 | Englert, F., Houart, L., Taormina, A., and West, P.C., “The symmetry of M-theories”, J. High
Energy Phys., 2003(09), 020, (2003). Related online version (cited on 19 October 2007):
![]() |
![]() |
75 | Feingold, A.J., and Frenkel, I.B., “A hyperbolic Kac–Moody algebra and the theory of Siegel modular forms of genus 2”, Math. Ann., 263, 87, (1983). |
![]() |
76 | Feingold, A.J., and Nicolai, H., “Subalgebras of Hyperbolic Kac–Moody Algebras”, (2003).
URL (cited on 19 October 2007):
![]() |
![]() |
77 | Fischbacher, T., “The structure of E10 at higher A9 levels: A first algorithmic approach”, J.
High Energy Phys., 2005(08), 012, (2005). Related online version (cited on 19 October 2007):
![]() |
![]() |
78 | Forte, L.A., and Sciarrino, A., “Standard and non-standard extensions of Lie algebras”, J.
Math. Phys., 47, 013513, (2006). Related online version (cited on 19 October 2007):
![]() |
![]() |
79 | Fré, P., Gargiulo, F., and Rulik, K., “Cosmic billiards with painted walls in non-maximal
supergravities: A worked out example”, Nucl. Phys. B, 737, 1–48, (2006). Related online version
(cited on 19 October 2007):
![]() |
![]() |
80 | Fré, P., Gargiulo, F., Rulik, K., and Trigiante, M., “The general pattern of Kac–Moody
extensions in supergravity and the issue of cosmic billiards”, Nucl. Phys. B, 741, 42–82, (2006).
Related online version (cited on 19 October 2007):
![]() |
![]() |
81 | Fré, P., Gargiulo, F., Sorin, A., Rulik, K., and Trigiante, M., “Cosmological backgrounds of
superstring theory and solvable algebras: oxidation and branes”, Nucl. Phys. B, 685, 3–64,
(2004). Related online version (cited on 19 October 2007):
![]() |
![]() |
82 | Fré, P., Rulik, K., and Trigiante, M., “Exact solutions for Bianchi type cosmological metrics,
Weyl orbits of E8(8) subalgebras and p-branes”, Nucl. Phys. B, 694, 239–274, (2004). Related
online version (cited on 19 October 2007):
![]() |
![]() |
83 | Fré, P., and Sorin, A.S., “The arrow of time and the Weyl group: all supergravity billiards
are integrable”, (2007). URL (cited on 19 October 2007):
![]() |
![]() |
84 | Fuchs, J., Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1992). |
![]() |
85 | Fuchs, J., and Schweigert, C., Symmetries, Lie Algebras and Representations: A graduate course for physicists, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1997). |
![]() |
86 | Gaberdiel, M.R.and Olive, D.I., and West, P.C., “A class of Lorentzian Kac–Moody algebras”,
Nucl. Phys. B, 645, 403–437, (2002). Related online version (cited on 19 October 2007):
![]() |
![]() |
87 | Garfinkle, D., “Numerical simulations of generic singuarities”, Phys. Rev. Lett., 93, 161101,
(2004). Related online version (cited on 19 October 2007):
![]() |
![]() |
88 | Green, M.B., and Vanhove, P., “Duality and higher derivative terms in M theory”, J. High
Energy Phys., 2006(01), 093, (2006). Related online version (cited on 19 October 2007):
![]() |
![]() |
89 | Gross, D.J., Harvey, J.A., Martinec, E.J., and Rohm, R., “The Heterotic String”, Phys. Rev. Lett., 54, 502–505, (1985). |
![]() |
90 | Gutperle, M., and Strominger, A., “Spacelike branes”, J. High Energy Phys., 2002(04), 018,
(2002). Related online version (cited on 19 October 2007):
![]() |
![]() |
91 | Hawking, S.W., and Ellis, G.F.R., The Large Scale Structure of Space-Time, Cambridge Monographs on Mathematical Physics, (Cambridge University Press, Cambridge, U.K., 1973). |
![]() |
92 | Heinzle, J.M., Uggla, C., and Rohr, N., “The cosmological billiard attractor”, (2007). URL
(cited on 19 October 2007):
![]() |
![]() |
93 | Helgason, S., Differential Geometry, Lie Groups, and Symmetric Spaces, Graduate Studies in Mathematics, vol. 34, (American Mathematical Society, Providence, U.S.A., 2001). |
![]() |
94 | Helminck, A.G., “Classification of real semisimple Lie algebras”, in Koornwinder, T.H., ed., The structure of real semisimple Lie groups, MC Syllabus, vol. 49, pp. 113–136, (Math. Centrum, Amsterdam, Netherlands, 1982). |
![]() |
95 | Henneaux, M., and Julia, B., “Hyperbolic billiards of pure D = 4 supergravities”, J. High
Energy Phys., 2003(05), 047, (2003). Related online version (cited on 19 October 2007):
![]() |
![]() |
96 | Henneaux, M., Leston, M., Persson, D., and Spindel, P., “Geometric configurations, regular
subalgebras of E10 and M-theory cosmology”, J. High Energy Phys., 2006(10), 021, (2006).
Related online version (cited on 19 October 2007):
![]() |
![]() |
97 | Henneaux, M., Leston, M., Persson, D., and Spindel, P., “A Special Class of Rank 10 and
11 Coxeter Groups”, J. Math. Phys., 48, 053512, (2007). Related online version (cited on 19
October 2007):
![]() |
![]() |
98 | Henneaux, M., Persson, D., and Wesley, D.H., “Chaos, Cohomology and Coxeter Groups”, unknown status. Work in progress. |
![]() |
99 | Henneaux, M., and Teitelboim, C., “The cosmological constant as a canonical variable”, Phys. Lett. B, 143, 415–420, (1984). |
![]() |
100 | Henneaux, M., and Teitelboim, C., “Dynamics of chiral (selfdual) p-forms”, Phys. Lett. B, 206, 650, (1988). |
![]() |
101 | Henneaux, M., and Teitelboim, C., “Duality in linearized gravity”, Phys. Rev. D, 71, 024018,
(2005). Related online version (cited on 19 October 2007):
![]() |
![]() |
102 | Henry-Labordere, P., Julia, B., and Paulot, L., “Borcherds symmetries in M-theory”, J. High
Energy Phys., 2002(04), 049, (2002). Related online version (cited on 19 October 2007):
![]() |
![]() |
103 | Henry-Labordere, P., Julia, B., and Paulot, L., “Real Borcherds superalgebras and M-theory”,
J. High Energy Phys., 2003(04), 060, (2003). Related online version (cited on 19 October 2007):
![]() |
![]() |
104 | Henry-Labordere, P., Julia, B., and Paulot, L., “Symmetries in M-theory: Monsters, Inc”,
Cargese 2002, conference paper, (2003). Related online version (cited on 19 October 2007):
![]() |
![]() |
105 | Hilbert, D., and Cohn-Vossen, S., Geometry and the Imagination, (Chelsea Pub. Co., New York, U.S.A., 1952). |
![]() |
106 | Hillmann, C., and Kleinschmidt, A., “Pure type I supergravity and DE10”, Gen. Relativ.
Gravit., 38, 1861–1885, (2006). Related online version (cited on 19 October 2007):
![]() |
![]() |
107 | Humphreys, J.E., Reflection Groups and Coxeter Groups, Cambridge Studies in Advanced Mathematics, vol. 29, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1990). |
![]() |
108 | Isenberg, J.A., and Moncrief, V., “Asymptotic behavior of polarized and half-polarized U(1)
symmetric vacuum spacetimes”, Class. Quantum Grav., 19, 5361–5386, (2002). Related online
version (cited on 7 December 2007):
![]() |
![]() |
109 | Ivashchuk, V.D., Kirillov, A.A., and Melnikov, V.N., “Stochastic behavior of multidimensional cosmological models near a singularity”, Russ. Phys. J., 37, 1102–1106, (1994). |
![]() |
110 | Ivashchuk, V.D., and Melnikov, V.N., “Billiard representation for multidimensional cosmology
with multicomponent perfect fluid near the singularity”, Class. Quantum Grav., 12, 809–826,
(1995). Related online version (cited on 19 October 2007):
![]() |
![]() |
111 | Ivashchuk, V.D., and Melnikov, V.N., “Billiard representation for multidimensional cosmology
with intersecting p-branes near the singularity”, J. Math. Phys., 41, 6341–6363, (2000). Related
online version (cited on 19 October 2007):
![]() |
![]() |
112 | Ivashchuk, V.D., Melnikov, V.N., and Kirillov, A.A., “Stochastic properties of multidimensional cosmological models near a singular point”, J. Exp. Theor. Phys. Lett., 60, 235–239, (1994). |
![]() |
113 | Julia, B., “Group disintegrations”, in Hawking, S.W., and Roček, M., eds., Superspace and Supergravity, Nuffield Gravity Workshop, Cambridge, England, June 22 – July 12, 1980, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1981). |
![]() |
114 | Julia, B., Levie, J., and Ray, S., “Gravitational duality near de Sitter space”, J. High Energy
Phys., 2005(11), 025, (2005). Related online version (cited on 19 October 2007):
![]() |
![]() |
115 | Kac, V.G., “Laplace operators of infinite-dimensional Lie algebras and theta functions”, Proc. Natl. Acad. Sci. USA, 81, 645–647, (1984). |
![]() |
116 | Kac, V.G., Infinite dimensional Lie algebras, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1990), 3rd edition. |
![]() |
117 | Kantor, S., “Die Configurationen (3, 3)10”, Sitzungsber. Akad. Wiss. Wien, 84(II), 1291–1314, (1881). |
![]() |
118 | Keurentjes, A., “The group theory of oxidation”, Nucl. Phys. B, 658, 303–347, (2003). Related
online version (cited on 19 October 2007):
![]() |
![]() |
119 | Keurentjes, A., “The group theory of oxidation. II: Cosets of non-split groups”, Nucl. Phys. B,
658, 348–372, (2003). Related online version (cited on 19 October 2007):
![]() |
![]() |
120 | Keurentjes, A., “Poincare duality and G+++ algebras”, (2005). URL (cited on 19 October 2007):
![]() |
![]() |
121 | Khalatnikov, I.M., Lifshitz, E.M., Khanin, K.M., Shchur, L.N., and Sinai, Y.G., “On the Stochasticity in Relativistic Cosmology”, J. Stat. Phys., 38, 97–114, (1985). |
![]() |
122 | Kirillov, A.A., “The Nature of the Spatial Distribution of Metric Inhomogeneities in the General Solution of the Einstein Equations near a Cosmological Singularity”, J. Exp. Theor. Phys., 76, 355–358, (1993). |
![]() |
123 | Kirillov, A.A., and Melnikov, V.N., “Dynamics of inhomogeneities of metric in the vicinity of a
singularity in multidimensional cosmology”, Phys. Rev. D, 52, 723–729, (1995). Related online
version (cited on 19 October 2007):
![]() |
![]() |
124 | Kleinschmidt, A., Indefinite Kac–Moody Algebras in String Theory, Ph.D. Thesis, (Cambridge University, Cambridge, 2004). |
![]() |
125 | Kleinschmidt, A., and Nicolai, H., “E10 and SO(9, 9) invariant supergravity”, J. High Energy
Phys., 2004(07), 041, (2004). Related online version (cited on 19 October 2007):
![]() |
![]() |
126 | Kleinschmidt, A., and Nicolai, H., “IIB supergravity and E10”, Phys. Lett. B, 606, 391–402,
(2005). Related online version (cited on 19 October 2007):
![]() |
![]() |
127 | Kleinschmidt, A., and Nicolai, H., “E10 cosmology”, J. High Energy Phys., 2006(01), 137,
(2006). Related online version (cited on 19 October 2007):
![]() |
![]() |
128 | Kleinschmidt, A., Nicolai, H., and Palmkvist, J., “K(E9) from K(E10)”, J. High Energy Phys.,
2007(06), 051, (2007). Related online version (cited on 19 October 2007):
![]() |
![]() |
129 | Knapp, A.W., Lie Groups Beyond an Introduction, Progress in Mathematics, vol. 140, (Birkhäuser, Boston, U.S.A., 2002), 2nd edition. |
![]() |
130 | Lambert, N., and West, P.C., “Enhanced coset symmetries and higher derivative corrections”,
Phys. Rev. D, 74, 065002, (2006). Related online version (cited on 19 October 2007):
![]() |
![]() |
131 | Lambert, N., and West, P.C., “Duality groups, automorphic forms and higher derivative
corrections”, Phys. Rev. D, 75, 066002, (2007). Related online version (cited on 19 October
2007):
![]() |
![]() |
132 | Lifshitz, E.M., Lifshitz, I.M., and Khalatnikov, I.M., “Asymptotic analysis of oscillatory mode of approach to a singularity in homogeneous cosmological models”, Sov. Phys. JETP, 32, 173, (1971). |
![]() |
133 | Loos, O., Symmetric Spaces, 2 vols., (W.A. Benjamin, New York, U.S.A., 1969). |
![]() |
134 | Marcus, N., and Schwarz, J.H., “Three-Dimensional Supergravity Theories”, Nucl. Phys. B, 228, 145, (1983). |
![]() |
135 | Margulis, G.A., “Applications of ergodic theory to the investigation of manifolds of negative curvature”, Funct. Anal. Appl., 4, 335–336, (1969). |
![]() |
136 | Michel, Y., and Pioline, B., “Higher Derivative Corrections, Dimensional Reduction and Ehlers
Duality”, J. High Energy Phys., 2007(09), 103, (2007). Related online version (cited on 19
October 2007):
![]() |
![]() |
137 | Misner, C.W., “Mixmaster Universe”, Phys. Rev. Lett., 22, 1071–1074, (1969). |
![]() |
138 | Misner, C.W., “The Mixmaster cosmological metrics”, (1994). URL (cited on 19 October 2007):
![]() |
![]() |
139 | Nicolai, H., “d = 11 Supergravity With Local SO(16) Invariance”, Phys. Lett. B, 187, 316, (1987). |
![]() |
140 | Nicolai, H., “The integrability of N = 16 supergravity”, Phys. Lett. B, 194, 402, (1987). |
![]() |
141 | Nicolai, H., and Fischbacher, T., “Low level representations for E10 and E11”, (2003). URL
(cited on 19 October 2007):
![]() |
![]() |
142 | Obers, N.A., and Pioline, B., “U-duality and M-theory”, Phys. Rep., 318, 113–225, (1999).
Related online version (cited on 19 October 2007):
![]() |
![]() |
143 | Ohta, N., “Accelerating cosmologies from S-branes”, Phys. Rev. Lett., 91, 061303, (2003).
Related online version (cited on 19 October 2007):
![]() |
![]() |
144 | Ohta, N., “Intersection rules for S-branes”, Phys. Lett. B, 558, 213–220, (2003). Related online
version (cited on 19 October 2007):
![]() |
![]() |
145 | Page, W., and Dorwart, H.L., “Numerical Patterns and geometric Configurations”, Math. Mag., 57(2), 82–92, (1984). |
![]() |
146 | Ratcliffe, J.G., Foundations of Hyperbolic Manifolds, Graduate Texts in Mathematics, vol. 149, (Springer, New York, U.S.A., 1994). |
![]() |
147 | Rendall, A.D., “The Nature of Spacetime Singularities”, in Ashtekar, A., ed., 100 Years of
Relativity. Space-Time Structure: Einstein and Beyond, (World Scientific, Singapore, 2005).
Related online version (cited on 19 October 2007):
![]() |
![]() |
148 | Riccioni, F., Steele, D., and West, P., “Duality Symmetries and G+++ Theories”, (2007). URL
(cited on 19 October 2007):
![]() |
![]() |
149 | Riccioni, F., and West, P.C., “Dual fields and E11”, Phys. Lett. B, 645, 286–292, (2007).
Related online version (cited on 7 December 2007):
![]() |
![]() |
150 | Riccioni, F., and West, P.C., “The E11 origin of all maximal supergravities”, (2007). URL
(cited on 19 October 2007):
![]() |
![]() |
151 | Ringström, H., “The Bianchi IX attractor”, Ann. Henri Poincare, 2, 405–500, (2001). Related
online version (cited on 19 October 2007):
![]() |
![]() |
152 | Russo, J.G., and Tseytlin, A.A., “One-loop four-graviton amplitude in eleven-dimensional
supergravity”, Nucl. Phys. B, 508, 245–259, (1997). Related online version (cited on 19 October
2007):
![]() |
![]() |
153 | Ruuska, V., “On purely hyperbolic Kac–Moody algebras”, in Mickelsson, J., and Pekonen, O., eds., Topological and Geometrical Methods in Field Theory, Proceedings of the conference, Turku, Finland, 26 May – 1 June 1991, pp. 359–369, (World Scientific, Singapore; River Edge, U.S.A., 1992). |
![]() |
154 | Saçlioğlu, C., “Dynkin diagrams for hyperbolic Kac–Moody algebras”, J. Phys. A, 22, 3753, (1989). |
![]() |
155 | Satake, I., “On Representations and Compactifications of Symmetric Riemannian Spaces”, Ann. Math. (2), 71(1), 77–110, (1960). |
![]() |
156 | Schnakenburg, I., and West, P.C., “Kac–Moody symmetries of IIB supergravity”, Phys. Lett.
B, 517, 421–428, (2001). Related online version (cited on 19 October 2007):
![]() |
![]() |
157 | Schnakenburg, I., and West, P.C., “Massive IIA supergravity as a non-linear realisation”, Phys.
Lett. B, 540, 137–145, (2002). Related online version (cited on 19 October 2007):
![]() |
![]() |
158 | Schnakenburg, I., and West, P.C., “Kac–Moody symmetries of ten-dimensional non-maximal
supergravity theories”, J. High Energy Phys., 2004(05), 019, (2004). Related online version
(cited on 19 October 2007):
![]() |
![]() |
159 | Schwarz, J.H., and Sen, A., “Duality symmetric actions”, Nucl. Phys. B, 411, 35–63, (1994).
Related online version (cited on 19 October 2007):
![]() |
![]() |
160 | Spindel, P., and Zinque, M., “Asymptotic behavior of the Bianchi IX cosmological models in the R2 theory of gravity”, Int. J. Mod. Phys. D, 2, 279–294, (1993). |
![]() |
161 | Tits, J., “Classification of algebraic semisimple groups”, in Borel, A., and Mostow, G.D., eds., Algebraic Groups and Discontinuous Subgroups, Proceedings of the Symposium in Pure Mathematics of the AMS held at the University of Colorado, Boulder, Colorado, July 5 – August 6, 1965, Proc. Symp. Pure Math., vol. 9, pp. 33–62, (American Mathematical Society, Providence, U.S.A., 1966). |
![]() |
162 | Uggla, C., “The Nature of Generic Cosmological Singularities”, (2007). URL (cited on 19
October 2007):
![]() |
![]() |
163 | Uggla, C., van Elst, H., Wainwright, J., and Ellis, G.F.R., “The past attractor in inhomogeneous
cosmology”, Phys. Rev. D, 68, 103502, (2003). Related online version (cited on 19 October
2007):
![]() |
![]() |
164 | Vinberg, E.B., ed., Geometry II: Spaces of Constant Curvature, Encyclopaedia of Mathematical Sciences, vol. 29, (Springer, Berlin, Germany; New York, U.S.A., 1993). |
![]() |
165 | Wesley, D.H., “Kac–Moody algebras and controlled chaos”, Class. Quantum Grav., 24, F7–F13,
(2006). Related online version (cited on 19 October 2007):
![]() |
![]() |
166 | Wesley, D.H., Steinhardt, P.J., and Turok, N., “Controlling chaos through compactification in
cosmological models with a collapsing phase”, Phys. Rev. D, 72, 063513, (2005). Related online
version (cited on 19 October 2007):
![]() |
![]() |
167 | West, P.C., “E11 and M theory”, Class. Quantum Grav., 18, 4443–4460, (2001). Related online
version (cited on 19 October 2007):
![]() |
![]() |
168 | West, P.C., “The IIA, IIB and eleven dimensional theories and their common E11 origin”, Nucl.
Phys. B, 693, 76–102, (2004). Related online version (cited on 19 October 2007):
![]() |
![]() |
169 | West, P.C., “E11 and Higher Spin Theories”, (2007). URL (cited on 19 October 2007):
![]() |
![]() |
170 | Zimmer, R.J., Ergodic Theory and Semisimple Groups, Monographs in Mathematics, vol. 81, (Birkhäuser, Boston, U.S.A., 1984). |
http://www.livingreviews.org/lrr-2008-1 | ![]() This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 2.0 Germany License. Problems/comments to |