Conjugacy Classes in Reductive Groups and Two-sided Cells

DOI10.21915/BIMAS.2019301zbMath1472.20107arXiv1706.02389OpenAlexW2982473764MaRDI QIDQ5113657

George Lusztig

Publication date: 15 June 2020

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02389

zbMATH Keywords

affine Weyl groupconjugacy classtwo-sided cell

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Representation theory for linear algebraic groups (20G05) General properties and structure of complex Lie groups (22E10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (3)

ENDOSCOPY FOR HECKE CATEGORIES, CHARACTER SHEAVES AND REPRESENTATIONS ⋮ Hecke modules based on involutions in extended Weyl groups ⋮ Reducing mod 𝑝 complex representations of finite reductive groups

Cites Work

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• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Monodromic systems on affine flag manifolds
• Hecke Algebras with Unequal Parameters

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