Kac-Moody groups, hovels and Littelmann paths

DOI10.5802/aif.2423zbMath1161.22007arXivmath/0703639OpenAlexW1558983539MaRDI QIDQ999693

Stéphane Gaussent, Guy Rousseau

Publication date: 10 February 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703639

zbMATH Keywords

pathbuildingKac-Moody groupvaluated field

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Semisimple Lie groups and their representations (22E46) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42)

Related Items (16)

Principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields ⋮ Decompositions of principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields ⋮ Edifices: building-like spaces associated to linear algebraic groups ⋮ Groupes de Kac-Moody déployés n corps local II. Masures ordonnées ⋮ A New Axiomatics for Masures ⋮ Kato’s irreducibility criterion for Kac-Moody groups over local fields ⋮ Unnamed Item ⋮ Completed Iwahori-Hecke algebras and parahoric Hecke algebras for Kac-Moody groups over local fields ⋮ Spherical Hecke algebras for Kac-Moody groups over local fields. ⋮ A survey of the additive eigenvalue problem (with Appendix by M. Kapovich) ⋮ On structure constants of Iwahori-Hecke algebras for Kac-Moody groups ⋮ The cone topology on masures. With an appendix by Auguste Hébert (Université de Lyon) ⋮ Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties ⋮ Distances on a masure ⋮ Almost a building for the tame automorphism group ⋮ A new axiomatics for masures. II

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