On tensor categories attached to cells in affine Weyl groups, III

2006/05/23 by Roman Bezrukavnikov, Bezrukavnikov, Roman, Michael Finkelberg +3 · 3 citations
Mathematics · Medicine · #Advanced Algebra and Geometry #Advanced Neuroimaging Techniques and Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.math/0605628

openalex publication_date 2006/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a weak version of Lusztig's conjecture on explicit description of the asymptotic Hecke algebras (both finite and affine), and explain its relation to Lusztig's classification of character sheaves.

Cited by

• A positivity property in the based ring of the lowest two-sided cell
• Tilting modules for reductive algebraic groups: characters and support varieties
• Finite Langlands correspondence

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