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On Endomorphism Algebras of Gelfand-Graev Representations II

Li, Tzu-Jan; Shotton, Jack

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Authors

Tzu-Jan Li



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).

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
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

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http://creativecommons.org/licenses/by/4.0/

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http://creativecommons.org/licenses/by/4.0/

Copyright Statement
© 2023 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.

This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.






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