Defect \(3\) blocks of symmetric group algebras

DOI10.1006/jabr.1998.7649zbMath0947.20011OpenAlexW2038426969MaRDI QIDQ1283673

Lee Russell, Stuart Martin

Publication date: 5 November 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7649

zbMATH Keywords

symmetric groupsprincipal blocksdecomposition numberssymmetric group algebrasdefect \(3\) blocks

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (11)

On the radical of the group algebra of a symmetric group ⋮ Symmetric group blocks of small defect. ⋮ Adjustment matrices for weight three blocks of Iwahori-Hecke algebras. ⋮ The ordinary quiver of a weight three block of the symmetric group is bipartite. ⋮ Martin's conjecture holds for weight 3 blocks of symmetric groups. ⋮ Defect 3 blocks of symmetric group algebras. I ⋮ \([3:2\)-pairs of symmetric group algebras and their intermediate defect 4 blocks.] ⋮ Decomposition numbers for weight three blocks of symmetric groups and Iwahori--Hecke algebras ⋮ General vertices in ordinary quivers for symmetric group algebras ⋮ On the principal blocks of \({\mathfrak S}_9\) and \({\mathfrak S}_{10}\) over a field of characteristic \(3\) ⋮ Equating decomposition numbers for different primes.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Ext-quiver of blocks of defect 3 of symmetric group algebras
• On the decomposition matrices of the symmetric groups. III
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• ON THE ORDINARY QUIVER OF THE PRINCIPAL BLOCK OF CERTAIN SYMMETRIC GROUPS
• A q -Analogue of the Jantzen-Schaper Theorem
• SYMMETRIC GROUP BLOCKS OF DEFECT TWO

This page was built for publication: Defect \(3\) blocks of symmetric group algebras