James's conjecture holds for weight four blocks of Iwahori-Hecke algebras.

DOI10.1016/j.jalgebra.2007.08.006zbMath1155.20007OpenAlexW2076229189WikidataQ123160822 ScholiaQ123160822MaRDI QIDQ2466937

Matthew Fayers

Publication date: 16 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.08.006

zbMATH Keywords

symmetric groupsdecomposition numbersIwahori-Hecke algebrasRouquier blocksJantzen-Schaper coefficients

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 (9)

On low-degree representations of the symmetric group ⋮ Canonical bases for Fock spaces and tensor products ⋮ Another runner removal theorem for \(v\)-decomposition numbers of Iwahori-Hecke algebras and \(q\)-Schur algebras. ⋮ James's conjecture holds for blocks of \(q\)-Schur algebras of weights 3 and 4 ⋮ Foulkes modules and decomposition numbers of the symmetric group. ⋮ Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ Adjustment matrices for the principal block of the Iwahori-Hecke algebra \(\mathcal{H}_{5 e} \) ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ GRADED CARTAN MATRICES OF DEFECT 2 BLOCKS OF SYMMETRIC GROUPS

Cites Work

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• Some decomposition numbers for Hecke algebras of general linear groups
• An Extension of James's Conjecture
• Decomposition numbers for weight three blocks of symmetric groups and Iwahori--Hecke algebras

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