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.
Dedicated to Claudio Bunster on the occasion of his 60th birthday. To appear in ``Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity - Claudio Bunster Festsschrift" - 15 pages - PdfLaTeX

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