Representations of the symmetric group which are irreducible over subgroups

DOI10.1515/crll.2001.002zbMath1059.20016OpenAlexW2058808232MaRDI QIDQ4526961

S. Kleshchev, Jonathan Brundan

Publication date: 5 February 2001

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

Full work available at URL: https://semanticscholar.org/paper/8c85d2b676dd739b7a01b8a8437486174195a8f6

zbMATH Keywords

symmetric groupsirreducible modulesirreducible restrictions

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (23)

On low-degree representations of the symmetric group ⋮ On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups. ⋮ Vertices of Low-Dimensional Simple Modules for Symmetric Groups ⋮ Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II ⋮ Irreducible restrictions of representations of symmetric and alternating groups in small characteristics ⋮ Decomposition numbers and local properties ⋮ Irreducible tensor products for alternating groups in characteristics 2 and 3 ⋮ Some remarks on maximal subgroups of finite classical groups ⋮ On the Vertices of Simple Modules for Symmetric Groups ⋮ Ring theoretic aspects of quandles ⋮ Subgroup structure and representations of finite and algebraic groups. ⋮ On representations of affine Hecke algebras of type \(B\). ⋮ Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛) ⋮ On \(p\)-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree. ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems ⋮ Irreducible tensor products for alternating groups in characteristic \(5\) ⋮ Lower bounds for dimensions of irreducible representations of symmetric groups ⋮ On restrictions of modular spin representations of symmetric and alternating groups ⋮ Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems ⋮ Irreducible tensor products over alternating groups ⋮ On the restriction of cross characteristic representations of \(^2F_4(q)\) to proper subgroups. ⋮ Irreducible tensor products of representations of covering groups of symmetric and alternating groups

Uses Software

• GAP

Cites Work

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• The representation theory of the symmetric groups
• Modular Littlewood-Richardson coefficients
• Spin Modules for Symmetric Groups
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• On Decomposition Numbers and Branching Coefficients for Symmetric and Special Linear Groups

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