On the structure of the affine asymptotic Hecke algebras

DOI10.1007/s00031-022-09790-0arXiv2110.15903OpenAlexW3209018196MaRDI QIDQ6063028

Galyna Dobrovolska, Roman Bezrukavnikov, Stefan Dawydiak

Publication date: 2 December 2023

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.15903

zbMATH Keywords

Weyl groupreductive groupLusztig's conjectureaffine Hecke algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Geometric Langlands program (algebro-geometric aspects) (14D24)

Cites Work

• On two geometric realizations of an affine Hecke algebra
• Representations of semisimple Lie algebras in prime characteristic and the noncommutative Springer resolution
• Cells in affine Weyl groups. II
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Cuspidal geometry of p-adic groups
• Canonical left cells in affine Weyl groups
• Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant
• On the subregular \(J\)-rings of Coxeter systems
• Cocenters and representations of affine Hecke algebras
• Representations of affine Hecke algebras and based rings of affine Weyl groups
• The decomposition into cells of the affine weyl group of type [Btilde₃]
• Hecke Algebras with Unequal Parameters
• Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras
• Dimensions of modular irreducible representations of semisimple Lie algebras
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