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arXiv · 1112.5377

Cohomology of Deligne-Lusztig varieties for short-length regular elements in exceptional groups

Olivier Dudas
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Abstract

We determine the cohomology of Deligne-Lusztig varieties associated to some short-length regular elements for split groups of type F4 and En. As a byproduct, we obtain conjectural Brauer trees for the principal Phi_{14}-block of E7 and the principal Phi_{24}-block of E8.

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BibTeXRIS

Olivier Dudas. 2011-12-22. Cohomology of Deligne-Lusztig varieties for short-length regular elements in exceptional groups. https://arxiv.org/abs/1112.5377

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