Hyperbolic configurations of roots and Hecke algebras

DOI10.1016/j.jalgebra.2009.12.017zbMath1201.20036OpenAlexW2092411787MaRDI QIDQ965162

Jean Lécureux

Publication date: 21 April 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.12.017

zbMATH Keywords

Hecke algebrasCoxeter groupsbuildings

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Discrete subgroups of Lie groups (22E40) Groups as automorphisms of other structures (22F50)

Related Items

Buildings and Kac-Moody Groups ⋮ Gelfand pairs admit an Iwasawa decomposition ⋮ Factorial multiparameter Hecke von Neumann algebras and representations of groups acting on right-angled buildings ⋮ A classification of commutative parabolic Hecke algebras. ⋮ Gelfand pairs and strong transitivity for Euclidean buildings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness and presentation of Kac-Moody groups over fields
• Combinatorial and group-theoretic compactifications of buildings
• Factor and normal subgroup theorems for lattices in products of groups
• Simplicity and superrigidity of twin building lattices.
• The conjugacy problem for Coxeter groups.
• An elementary account of Selberg's lemma
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• On the first Betti number of a constant negatively curved manifold
• A note on subgroups generated by reflections in Coxeter groups
• Cohomology of buildings and of their automorphism groups.
• Rank-one isometries of buildings and quasi-morphisms of Kac-Moody groups.
• Buildings and Hecke algebras.
• Topological groups of Kac-Moody type, right-angled twinnings and their lattices.
• Free subgroups in linear groups
• Reductive groups over a local field
• Theory of spherical functions on reductive algebraic groups over p-adic fields
• Groupes et algébras de Lie
• Buildings
• IRREDUCIBLE COXETER GROUPS