Decomposition matrices for low-rank unitary groups

DOI10.1112/plms/pdv008zbMath1364.20005arXiv1310.7379OpenAlexW3105809659MaRDI QIDQ5256662

Gunter Malle, Olivier Dudas

Publication date: 19 June 2015

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

Full work available at URL: https://arxiv.org/abs/1310.7379

zbMATH Keywords

projective modulesdecomposition matrices\(\ell\)-adic cohomologyfinite special unitary groupsDeligne-Lusztig varietiesunipotent \(\ell\)-blocks

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33) Cohomology theory for linear algebraic groups (20G10)

Related Items (9)

On the decomposition numbers of \(\mathrm{SO}_8^+(2^f)\) ⋮ Decomposition matrices for exceptional groups at \(d=4\) ⋮ Categorical actions on unipotent representations of finite classical groups ⋮ Branching graphs for finite unitary groups in nondefining characteristic ⋮ On modular Harish-Chandra series of finite unitary groups ⋮ Projective modules in the intersection cohomology of Deligne-Lusztig varieties. ⋮ Bounding Harish-Chandra series ⋮ The irreducible characters of the Sylow \(p\)-subgroups of the Chevalley groups \(\mathrm{D}_{6}(p^f)\) and \(\mathrm{E}_{6}(p^f)\) ⋮ Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes

Uses Software

• CHEVIE

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