On the principal blocks of \({\mathfrak S}_9\) and \({\mathfrak S}_{10}\) over a field of characteristic \(3\)

DOI10.1016/S0022-4049(99)00082-1zbMath0986.20013OpenAlexW2055967160MaRDI QIDQ1585072

Kai Meng Tan

Publication date: 4 February 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00082-1

zbMATH Keywords

group algebrassymmetric groupssimple modulesExt-quiversLoewy lengthsprincipal blocksprincipal indecomposable modulesnon-Abelian defect groups

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (2)

The ordinary quiver of a weight three block of the symmetric group is bipartite. ⋮ On the structure of Specht modules in the principal block of \(F\Sigma_{3p}\)

Cites Work

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• On the Ext-quiver of blocks of defect 3 of symmetric group algebras
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• The representation theory of the symmetric groups
• Defect \(3\) blocks of symmetric group algebras
• A proof of the Mullineux conjecture
• Branching rules for modular representations of symmetric groups. I
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• Branching rules for modular representations of symmetric groups, II.
• SYMMETRIC GROUP BLOCKS OF DEFECT TWO
• Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux
• Defect 3 blocks of symmetric group algebras. I

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