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arXiv · 0806.2998

Deligne-Lusztig restriction of a Gelfand-Graev module

Olivier Dudas
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Abstract

Using Deodhar's decomposition of a double Schubert cell, we study the regular representations of finite groups of Lie type arising in the cohomology of Deligne-Lusztig varieties associated to tori. We deduce that the Deligne-Lusztig restriction of a Gelfand-Graev module is a shifted Gelfand-Graev module.

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Olivier Dudas. 2008-06-18. Deligne-Lusztig restriction of a Gelfand-Graev module. https://arxiv.org/abs/0806.2998

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