Defect 3 blocks of symmetric group algebras. I

DOI10.1006/jabr.2000.8564zbMath1024.20012OpenAlexW4213364275MaRDI QIDQ5936941

Kai Meng Tan, Stuart Martin

Publication date: 10 September 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8564

zbMATH Keywords

group algebrassymmetric groupsExt-quiversLoewy lengthsprincipal blocksprincipal indecomposable modules

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

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 \(F\Sigma_{3p}\) ⋮ Martin's conjecture holds for weight 3 blocks of symmetric groups. ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ \([3:2\)-pairs of symmetric group algebras and their intermediate defect 4 blocks.] ⋮ On the principal blocks of \({\mathfrak S}_9\) and \({\mathfrak S}_{10}\) over a field of characteristic \(3\)

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
• PROJECTIVE INDECOMPOSABLE MODULES FOR SYMMETRIC GROUPS I
• SYMMETRIC GROUP BLOCKS OF DEFECT TWO