Unitriangular basic sets for blocks of the symmetric and alternating groups of small weights

DOI10.1016/j.jalgebra.2021.11.048OpenAlexW3172428089MaRDI QIDQ2075231

Ana Bernal

Publication date: 14 February 2022

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

Full work available at URL: https://arxiv.org/abs/2106.07215

zbMATH Keywords

symmetric groupsinteger partitionsdecomposition matricesbasic setsMullineux involution

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Uses Software

• GAP

Cites Work

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• Regularisation and the Mullineux map.
• A proof of the Mullineux conjecture
• On residue symbols and the Mullineux conjecture
• A new proof of the Mullineux conjecture.
• Basic sets for the double covering groups of the symmetric and alternating groups in odd characteristic
• Weight two blocks of Iwahori-Hecke algebras of type \(B\).
• On self-Mullineux and self-conjugate partitions
• Weight two blocks of Iwahori–Hecke algebras in characteristic two
• A basic set for the alternating group
• Some combinatorial results involving Young diagrams
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• On the p -Cores of p -Regular Diagrams
• On mullineux' conjecture in the representation theory of symmetric groups
• SYMMETRIC GROUP BLOCKS OF DEFECT TWO
• 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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