Adjustment matrices for weight three blocks of Iwahori-Hecke algebras.

DOI10.1016/j.jalgebra.2006.01.054zbMath1118.20007OpenAlexW2088736805MaRDI QIDQ855984

Matthew Fayers, Kai Meng Tan

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.01.054

zbMATH Keywords

weightsblocksdecomposition numbersadjustment matricescomposition multiplicities of Specht modulesIwahori-Hecke algebras of type \(A\)

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (5)

The ordinary quiver of a weight three block of the symmetric group is bipartite. ⋮ Foulkes modules and decomposition numbers of the symmetric group. ⋮ Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ Decomposition numbers for weight three blocks of symmetric groups and Iwahori--Hecke algebras ⋮ Formulas for primitive idempotents in Frobenius algebras and an application to decomposition maps

Cites Work

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• Irreducible Specht modules for Hecke algebras of type \(A\).
• Rouquier blocks.
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• Defect \(3\) blocks of symmetric group algebras
• Morita equivalence for blocks of Hecke algebras of symmetric groups
• A proof of the Mullineux conjecture
• Weight two blocks of Iwahori–Hecke algebras in characteristic two
• Rock blocks
• Representations of Hecke Algebras of General Linear Groups
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• A q -Analogue of the Jantzen-Schaper Theorem
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Some decomposition numbers for Hecke algebras of general linear groups
• Decomposition numbers for weight three blocks of symmetric groups and Iwahori--Hecke algebras

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