Integrability of induction cocycles for Kac-Moody groups

DOI10.1007/s00208-005-0663-1zbMath1076.22018OpenAlexW2147246926MaRDI QIDQ2574906

Bertrand Rémy

Publication date: 5 December 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-005-0663-1

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Discrete subgroups of Lie groups (22E40) Rigidity results (53C24) Buildings and the geometry of diagrams (51E24) General properties and structure of other Lie groups (22E20) Groups as automorphisms of other structures (22F50)

Related Items

Factor and normal subgroup theorems for lattices in products of groups ⋮ Property \((T)\) and rigidity for actions on Banach spaces ⋮ Buildings and Kac-Moody Groups ⋮ A normal subgroup theorem for commensurators of lattices ⋮ Superrigidity for irreducible lattices and geometric splitting ⋮ Abstract simplicity of non-affine Kac-Moody groups. ⋮ Non-distortion of twin building lattices. ⋮ Simplicity and superrigidity of twin building lattices. ⋮ Product groups acting on manifolds ⋮ Superrigidity of actions on finite rank median spaces

Cites Work

• Uniqueness and presentation of Kac-Moody groups over fields
• Factor and normal subgroup theorems for lattices in products of groups
• Cohomology of buildings and of their automorphism groups.
• Rigidity of commensurators and irreducible lattices
• Lattices in Kac-Moody groups
• Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group
• Topological simplicity, commensurator super-rigidity and nonlinearities of Kac-Moody groups
• Superrigidity for irreducible lattices and geometric splitting
• Twin buildings and applications to \(S\)-arithmetic groups
• The word and Riemannian metrics on lattices of semisimple groups
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