The ordinary quiver of a weight three block of the symmetric group is bipartite.

DOI10.1016/j.aim.2006.04.007zbMath1114.20004OpenAlexW2036312737MaRDI QIDQ864567

Kai Meng Tan, Matthew Fayers

Publication date: 12 February 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2006.04.007

zbMATH Keywords

partitionssymmetric groupsquiversblockshooks

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (4)

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 ⋮ Basic Orders for Defect Two Blocks of ℤ_pΣ_n

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreducible Specht modules for Hecke algebras of type \(A\).
• Adjustment matrices for weight three blocks of Iwahori-Hecke algebras.
• 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
• On p-quotients for spin characters
• Defect \(3\) blocks of symmetric group algebras
• A proof of the Mullineux conjecture
• On the principal blocks of \({\mathfrak S}_9\) and \({\mathfrak S}_{10}\) over a field of characteristic \(3\)
• \([3:2\)-pairs of symmetric group algebras and their intermediate defect 4 blocks.]
• On Certain Blocks of Schur Algebras
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• Filtrations in Rouquier Blocks of Symmetric Groups and Schur Algebras
• Representations of wreath products of algebras
• On the principal blocks of F[Sfr ₁₁ and F[Sfr ]₁₂ over a field of characteristic 3]
• On weight three blocks of symmetric groups in characteristic three
• Some decomposition numbers for Hecke algebras of general linear groups
• Decomposition numbers for weight three blocks of symmetric groups and Iwahori--Hecke algebras
• On the Representation of the Symmetric Group
• Defect 3 blocks of symmetric group algebras. I
• Equivalent blocks of finite general linear groups in non-describing characteristic.

This page was built for publication: The ordinary quiver of a weight three block of the symmetric group is bipartite.