Deligne-Lusztig restriction of a Gelfand-Graev module

Olivier Dudas

Annales scientifiques de l'École Normale Supérieure (2009)

  • Volume: 42, Issue: 4, page 653-674
  • ISSN: 0012-9593

Abstract

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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.

How to cite

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Dudas, Olivier. "Deligne-Lusztig restriction of a Gelfand-Graev module." Annales scientifiques de l'École Normale Supérieure 42.4 (2009): 653-674. <http://eudml.org/doc/272192>.

@article{Dudas2009,
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.},
author = {Dudas, Olivier},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Gelfand-Graev; Deligne-Lusztig; Deodhar decomposition; Bialynicki-Birula decomposition},
language = {eng},
number = {4},
pages = {653-674},
publisher = {Société mathématique de France},
title = {Deligne-Lusztig restriction of a Gelfand-Graev module},
url = {http://eudml.org/doc/272192},
volume = {42},
year = {2009},
}

TY - JOUR
AU - Dudas, Olivier
TI - Deligne-Lusztig restriction of a Gelfand-Graev module
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2009
PB - Société mathématique de France
VL - 42
IS - 4
SP - 653
EP - 674
AB - 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.
LA - eng
KW - Gelfand-Graev; Deligne-Lusztig; Deodhar decomposition; Bialynicki-Birula decomposition
UR - http://eudml.org/doc/272192
ER -

References

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