Hyperbolic Kac-Moody symmetry, actions on buildings and applications
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by Lisa Carbone
Abstract: Hyperbolic Kac-Moody groups and algebras play a fundamental role in high-energy theoretical physics, particularly in the proposed unification of superstring theories, yet our knowledge of their internal structure is sketchy and fragmented. Locally compact forms of Kac-Moody groups admit actions on Tits buildings and may be studied in analogy with Lie groups. We discuss the action of hyperbolic Kac-Moody groups on their Tits buildings as a tool to understanding the structure of these groups and their applications.
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