Topological groups of Kac-Moody type, right-angled twinnings and their lattices.

DOI10.4171/CMH/49zbMath1163.22009OpenAlexW2066019620MaRDI QIDQ2494180

Bertrand Rémy, Mark A. Ronan

Publication date: 19 June 2006

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/cmh/49

zbMATH Keywords

Coxeter systemsTits systemstreeslatticesright-angled buildingsgroups of Kac-Moody typelocally compact groupstwin buildingsnon-linearitiesgroups acting on buildingsautomorphism groups of buildingsspherical parabolic subgroupstwin root data

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Automorphism groups of locally compact groups (22D45) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Discrete subgroups of Lie groups (22E40) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Linear algebraic groups over local fields and their integers (20G25)

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