The Mullineux Map for RoCk Blocks

DOI10.1080/00927870600778498zbMath1142.20001OpenAlexW2078836231MaRDI QIDQ5491363

Rowena Paget

Publication date: 11 October 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600778498

zbMATH Keywords

Schur algebrasirreducible representationsdecomposition matricesRouquier blocksMullineux maps\(p\)-blocks of symmetric groups

Mathematics Subject Classification ID

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

Related Items (6)

Rouquier blocks. ⋮ Parallelotope tilings and \(q\)-decomposition numbers ⋮ Schurifying quasi‐hereditary algebras ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Rock blocks ⋮ Crystals, regularisation and the Mullineux map

Cites Work

• The representation theory of the symmetric groups
• A proof of the Mullineux conjecture
• On residue symbols and the Mullineux conjecture
• Some canonical basis vectors in the basic \(U_q(\widehat{{\mathfrak sl}_n})\)-module
• SYMMETRIC GROUPS, WREATH PRODUCTS, MORITA EQUIVALENCES, AND BROUÉ'S ABELIAN DEFECT GROUP CONJECTURE
• The q ‐Schur Algebra
• Representations of Hecke Algebras of General Linear Groups
• Modular Branching Rules and the Mullineux Map for Hecke Algebras of Type A
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• On properties of the Mullineux map with an application to Schur modules
• Irreducible representations of the alternating group in odd characteristic
• Filtrations in Rouquier Blocks of Symmetric Groups and Schur Algebras
• Representations of wreath products of algebras
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Some decomposition numbers for Hecke algebras of general linear groups

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