Hyperbolic Kac-Moody Weyl groups, billiard tables and actions of lattices on buildings.

DOI10.1016/j.jpaa.2011.05.014zbMath1250.20039OpenAlexW1968541690MaRDI QIDQ418903

Lisa Carbone, Yusra Naqvi

Publication date: 30 May 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.05.014

zbMATH Keywords

Dynkin diagramstessellationsTits buildingsamalgams of finite Coxeter groupsfundamental chambers of Weyl groupslocally compact Kac-Moody groupsnonuniform lattice subgroupssymmetrizable Kac-Moody algebras

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Kac-Moody groups (20G44)

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