Remarks on symbols, hooks and degrees of unipotent characters

DOI10.1016/0097-3165(86)90093-2zbMath0659.20010OpenAlexW1993978902MaRDI QIDQ1112168

Jørn B. Olsson

Publication date: 1986

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(86)90093-2

zbMATH Keywords

symbolsfinite classical groupscores\(\beta\)-setscohooksdegree of unipotent characterse-hookse-quotienthook degree formulaquotients of partitionsunipotent character degrees

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items (17)

Products of derangements in simple permutation groups ⋮ Generalized Harish-Chandra theory for unipotent characters of finite classical groups ⋮ Cuspidal characters and automorphisms ⋮ Complex group algebras of almost simple unitary groups ⋮ On torsion free crystallographic groups ⋮ Complex group algebras of almost simple groups with socle PSL_n(q) ⋮ Simple groups with few irreducible character degrees ⋮ Weights for Classical Groups ⋮ Blocks with extraspecial defect groups of finite quasisimple groups. ⋮ CHARACTER LEVELS AND CHARACTER BOUNDS ⋮ MINIMAL IRREDUCIBILITY AND THE UNIPOTENT CHARACTERS OF GROUPS OF TYPE B_m AND C_m ⋮ Character degrees in blocks and defect groups ⋮ Towards the Eaton-Moretó conjecture on the minimal height of characters ⋮ On the inductive blockwise Alperin weight condition for classical groups ⋮ Scopes reduction and Morita equivalence classes of blocks in finite classical groups ⋮ Isomorphism problem for almost simple linear groups ⋮ Generation of classical groups

Cites Work

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• Irreducible representations of finite classical groups
• Character correspondences in finite general linear, unitary and symmetric groups
• The blocks of finite general linear and unitary groups
• The Characters of the Finite General Linear Groups
• McKay numbers and heights of characters.

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