Decomposition numbers of \(\mathrm{SO}_7(q)\) and \(\mathrm{Sp}_6(q)\).

DOI10.1016/j.jalgebra.2014.04.020zbMath1307.20011arXiv1309.2475OpenAlexW80439773MaRDI QIDQ403791

Frank Himstedt, Felix Noeske

Publication date: 29 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2475

zbMATH Keywords

symplectic groupsBrauer charactersdecomposition numbersmodular representationsspecial orthogonal groupsunipotent charactersmaximal parabolic subgroupsnon-defining characteristic

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)

Related Items (8)

Constructing characters of Sylow \(p\)-subgroups of finite Chevalley groups ⋮ On the decomposition numbers of \(\mathrm{SO}_8^+(2^f)\) ⋮ Restricting unipotent characters in special orthogonal groups ⋮ On the characters of the Sylow -subgroups of untwisted Chevalley groups ⋮ Bounding Harish-Chandra series ⋮ The irreducible characters of the Sylow \(p\)-subgroups of the Chevalley groups \(\mathrm{D}_{6}(p^f)\) and \(\mathrm{E}_{6}(p^f)\) ⋮ On the characters of Sylow $p$-subgroups of finite Chevalley groups $G(p^f)$ for arbitrary primes ⋮ Decomposition matrices for low-rank unitary groups

Uses Software

• GAP
• CHEVIE

Cites Work

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