Character relations and simple modules in the Auslander-Reiten graph of the symmetric and alternating groups and their covering groups.

DOI10.1023/A:1012701002315zbMath1042.20005MaRDI QIDQ5960128

Katsuhiro Uno, Christine Bessenrodt

Publication date: 11 April 2002

Published in: Algebras and Representation Theory (Search for Journal in Brave)

zbMATH Keywords

Hecke algebrassymmetric groupsCartan matricesprojective indecomposable modulessimple modulesAuslander-Reiten quiverscovering groupswild blocks

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Modular representations and characters (20C20)

Related Items (4)

Foulkes modules and decomposition numbers of the symmetric group. ⋮ Specht modules in the Auslander-Reiten quiver. ⋮ SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS ⋮ Indecomposable summands of Foulkes modules.

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