The complex characters of the symmetric groups that remain irreducible in subgroups

DOI10.1016/0021-8693(87)90251-1zbMath0633.20008OpenAlexW1972898718MaRDI QIDQ1096005

Jan Saxl

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90251-1

zbMATH Keywords

alternating groupirreducible restrictionordinary charactersubgroup of symmetric group

Mathematics Subject Classification ID

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

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Non-abelian anyons and some cousins of the Arad–Herzog conjecture, On the Durfee size of Kronecker products of characters of the symmetric group and its double covers., Critical classes, Kronecker products of spin characters, and the Saxl conjecture, Multiplicity-free Kronecker products of characters of the symmetric groups, Irreducible restrictions of representations of symmetric and alternating groups in small characteristics, On (almost) extreme components in Kronecker products of characters of the symmetric groups., A diagrammatic approach to Kronecker squares, Splitting Kronecker squares, 2-decomposition numbers, Catalan combinatorics, and the Saxl conjecture, Kronecker products, characters, partitions, and the tensor square conjectures, A character condition for quadruple transitivity., The projective characters of the symmetric groups that remain irreducible on subgroups, Plane partitions and characters of the symmetric group, Ring theoretic aspects of quandles, Subgroup structure and representations of finite and algebraic groups., Representation theory of symmetric groups and related Hecke algebras, Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems, On restrictions of modular spin representations of symmetric and alternating groups, Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems, On the restriction of cross characteristic representations of \(^2F_4(q)\) to proper subgroups.

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