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

JOURNAL OF ALGEBRA

卷:392

Article

关键词: Finite reductive groups;    Deligne-Lusztig theory;    Brauer trees;   

DOI  :  10.1016/j.jalgebra.2013.07.013

来源: Elsevier

【 摘 要 】

We determine the cohomology of Deligne-Lusztig varieties associated with some short-length regular elements for split groups of type F-4 and E-n. As a byproduct, we obtain conjectural Brauer trees for the principal Phi(14)-block of E-7 and the principal Phi(24)-block of E-8. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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