First cohomology groups for finite groups of Lie type in defining characteristic

DOI10.1112/blms/bdt087zbMath1304.20066arXiv1211.6942OpenAlexW2103355785WikidataQ59900528 ScholiaQ59900528MaRDI QIDQ5409106

David I. Stewart, Alison E. Parker

Publication date: 14 April 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6942

zbMATH Keywords

algebraic groupscohomology groupscohomologyWeyl modulesfinite groups of Lie typeirreducible modulesLusztig character formulabounding cohomological dimensionbounds on growth rates

Mathematics Subject Classification ID

Modular representations and characters (20C20) Cohomology of groups (20J06) Representations of finite groups of Lie type (20C33) Cohomology theory for linear algebraic groups (20G10)

Related Items

Computation of Kazhdan-Lusztig polynomials and some applications to finite groups, Cohomology of \(\mathrm{PSL}_2(q)\), Bounding the Dimensions of Rational Cohomology Groups, Bounding cohomology for finite groups and Frobenius kernels.

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