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

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

2011-12-22

arxiv.org/abs/1112.5377v1

Mathematics

Representation Theory

Scientific paper

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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