On Endomorphism Algebras of Gelfand-Graev Representations II

Li, Tzu-Jan; Shotton, Jack

Abstract

Let G be a connected reductive group defined over a finite field Fq of characteristic p, with Deligne–Lusztig dual G∗. We show that, over Z[1/pM] where M is the product of all bad primes for G, the endomorphism ring of a Gelfand–Graev representation of G(Fq) is isomorphic to the Grothendieck ring of the category of finite-dimensional Fq-representations of G∗(Fq).

Citation

Li, T.-J., & Shotton, J. (2023). On Endomorphism Algebras of Gelfand-Graev Representations II. Bulletin of the London Mathematical Society, 55(6), 2876-2890. https://doi.org/10.1112/blms.12899

• Journal Article Type: Article
• Acceptance Date: Jul 7, 2023
• Online Publication Date: Aug 11, 2023
• Publication Date: 2023
• Deposit Date: Jul 20, 2023
• Publicly Available Date: Aug 11, 2023
• Journal: Bulletin of the London Mathematical Society
• Print ISSN: 0024-6093
• Electronic ISSN: 1469-2120
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 55
• Issue: 6
• Pages: 2876-2890
• DOI: https://doi.org/10.1112/blms.12899
• Public URL: https://durham-repository.worktribe.com/output/1168561
• Publisher URL: https://londmathsoc.onlinelibrary.wiley.com/journal/14692120