A basic set for the alternating group

DOI10.1515/CRELLE.2010.033zbMath1203.20009arXiv0810.1840OpenAlexW2962729640MaRDI QIDQ3561028

Olivier Brunat, Jean-Baptiste Gramain

Publication date: 17 May 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1840

zbMATH Keywords

blocksirreducible complex charactersBrauer charactersperfect isometriesdecomposition matricesbasic sets

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (10)

Multiplication theorems for self-conjugate partitions ⋮ On self-Mullineux and self-conjugate partitions ⋮ On unitriangular basic sets for symmetric and alternating groups ⋮ Restriction of characters to subgroups of wreath products and basic sets for the symmetric group ⋮ Perfect isometries and Murnaghan-Nakayama rules ⋮ Submatrices of character tables and basic sets ⋮ A 2-basic set of the alternating group. ⋮ Basic sets for the double covering groups of the symmetric and alternating groups in odd characteristic ⋮ Unitriangular basic sets for blocks of the symmetric and alternating groups of small weights ⋮ Multiplication theorems for self-conjugate partitions

Cites Work

• Basic sets in defining characteristic for general linear groups of small rank.
• On the decomposition numbers of \(G_ 2(q)\)
• Basic sets of Brauer characters of finite groups of Lie type. III
• Generalized blocks for symmetric groups.
• Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic^∗
• On defect groups for generalized blocks of the symmetric group
• Basic Sets of Brauer Characters of Finite Groups of Lie Type II

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