The based ring of the lowest two-sided cell of an affine Weyl group. II

DOI10.24033/asens.1688zbMath0801.20016OpenAlexW2470334815MaRDI QIDQ4289256

Nanhua Xi

Publication date: 1 December 1994

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1994_4_27_1_47_0

zbMATH Keywords

simple modulesisomorphismGrothendieck groupaffine Weyl groupHecke algebralowest two-sided cell

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Automorphisms of infinite groups (20E36) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representations of finite groups of Lie type (20C33) Grothendieck groups (category-theoretic aspects) (18F30)

Related Items

Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group, The lowest two-sided cell of a Coxeter group with complete graph, Conjectures P1--P15 for Coxeter groups with complete graph, The based ring of the lowest generalized two-sided cell of an extended affine Weyl group

Cites Work

• Unnamed Item
• The based ring of the lowest two-sided cell of an affine Weyl group
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Canonical left cells in affine Weyl groups
• Representations of Coxeter groups and Hecke algebras
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• A Two-Sided Cell in an Affine Weyl Group