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arXiv · 2501.04113

Jordan decomposition, categorical traces and Deligne-Lusztig theory

Arnaud Eteve
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Abstract

This paper is a continuation of the author's previous work. We use the categorical trace formalism to construct a categorical Jordan decomposition for representations of finite groups of Lie type. As a second application, we study the endomorphism algebra of the Gelfand-Graev representation and recover a result of Li and Shotton-Li.

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BibTeXRIS

Arnaud Eteve. 2025-01-07. Jordan decomposition, categorical traces and Deligne-Lusztig theory. https://arxiv.org/abs/2501.04113

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