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Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity pp 1–11Cite as

Kac-Moody algebras and the structure of cosmological singularities: a new light on the Belinskii-Khalatnikov-Lifshitz analysis

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The unexpected and fascinating emergence of hyperbolic Coxeter groups and Lorentzian Kac-Moody algebras in the investigation of gravitational theories in the vicinity of a cosmological singularity is briefly reviewed. Some open questions raised by this intriguing result, and some attempts to answer them, are outlined.

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  1. Physique théorique et mathématique, Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine CP 231, B-1050 Bruxelles, Belgium

    Marc Henneaux

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    Henneaux, M. (2009). Kac-Moody algebras and the structure of cosmological singularities: a new light on the Belinskii-Khalatnikov-Lifshitz analysis. In: Zanelli , J., Henneaux, M. (eds) Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity. Springer, New York, NY. https://doi.org/10.1007/978-0-387-87499-9_11

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