Non-unipotent representations and categorical centres

2016/11/24 by G. Lusztig, Lusztig, G.
Computer Science · Mathematics · #Advanced Algebra and Logic #FOS: Mathematics #Mathematics and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1611.08296

openalex publication_date 2016/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a connected reductive group defined over a finite field F_q. We give a parametrization of the irreducible representations of G(F_q) in terms of (twisted) categorical centres of various monoidal categories associated to G. (Results of this type were known earlier for unipotent representations. Analogous results for the parametrization of character sheaves on G were also known earlier.)

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