On the decomposition numbers of the finite unitary groups in non-defining characteristic

DOI10.1007/BF02571376zbMath0712.20006MaRDI QIDQ923719

Meinolf Geck

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174257

zbMATH Keywords

irreducible charactersfinite groups of Lie typefinite general linear groupsfinite unitary groupsprojective charactersgeneralized Gelfand-Graev charactersr-blockr-modular decomposition matrices

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 (19)

Weak cuspidality and the Howe correspondence ⋮ Equivariant correspondences and the inductive Alperin weight condition for type 𝖠 ⋮ Alperin weight conjecture and related developments ⋮ THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE AND THE PRIME ⋮ The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_{n}(q)\) and \(\mathrm{PSU}_{n}(q)\) with cyclic outer automorphism groups ⋮ Categorical actions on unipotent representations of finite unitary groups ⋮ On the inductive Alperin-McKay and Alperin weight conjecture for groups with abelian Sylow subgroups. ⋮ Unitriangular basic sets, Brauer characters and coprime actions ⋮ Unitriangular shape of decomposition matrices of unipotent blocks ⋮ Categorical actions on unipotent representations of finite classical groups ⋮ The blocks and weights of finite special linear and unitary groups ⋮ Branching graphs for finite unitary groups in nondefining characteristic ⋮ On modular Harish-Chandra series of finite unitary groups ⋮ On 2-Brauer characters of odd degree ⋮ Stable basic sets for finite special linear and unitary groups ⋮ Low-dimensional representations of special unitary groups ⋮ On quotients of Hom-functors and representations of finite general linear groups. II ⋮ Rank 3 permutation modules of the finite classical groups. ⋮ Decomposition matrices for low-rank unitary groups

Cites Work

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• Generalized Gelfand-Graev representations of exceptional simple algebraic groups over a finite field. I
• Foncteurs de Lusztig et caractères des groupes linéaires et unitaires sur un corps fini. (Lusztig functors and characters of linear and unitary groups over a finite field)
• The blocks of finite general linear and unitary groups
• Characters of Reductive Groups over a Finite Field. (AM-107)
• On the Decomposition Numbers of the Finite General Linear Groups
• On the Decomposition Numbers of the Finite General Linear Groups. II
• Representations of Hecke Algebras of General Linear Groups

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