The quadratic type of certain irreducible modules for the symmetric group in characteristic two.

DOI10.1016/S0021-8693(03)00520-9zbMath1062.20011MaRDI QIDQ1882876

Patrick Quill, Roderick Gow

Publication date: 1 October 2004

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

zbMATH Keywords

symmetric groupsquadratic formsregular partitionsquadratic type modulesself-dual modules in characteristic 2

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Quadratic forms over general fields (11E04) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Invariant forms on irreducible modules of simple algebraic groups

Cites Work

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• The representation theory of the symmetric groups
• Methods to decide if simple self-dual modules over fields of characteristic \(2\) are of quadratic type
• Branching rules for two row partitions and applications to the inductive systems for symmetric groups