Deligne-Lusztig restriction of a Gelfand-Graev module
Representation Theory
2010-11-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.0806.2998,
title = {Deligne-Lusztig restriction of a Gelfand-Graev module},
author = {Olivier Dudas},
journal= {arXiv preprint arXiv:0806.2998},
year = {2010}
}
Comments
18 pages