On the representation theory of the symmetric groups

DOI10.1016/0021-8693(80)90161-1zbMath0452.20009OpenAlexW2048386742MaRDI QIDQ1148383

M. H. Peel, H. K. Farahat

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90161-1

zbMATH Keywords

Specht modulesirreducible representationsirreducible modular representationsrepresentation theory of the symmetric groupsChung's conjectureinduction algebra of symmetric groupsleft ideals in the group ringmodular irreducible representations in a blockskew representations

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

Reduced decompositions in Weyl groups, Representations of finite groups, Hecke algebras and the socle of the projective indecomposable modules, Composition factors of Specht modules for Hecke algebras of type \(A_n\)., Skew modules for reductive groups, On decomposability of some Specht modules for symmetric groups, The representations of the Weyl groups of type \(B_ n\)., Representations of symmetric groups by bad shapes, Duality and left ideals in a group ring, Local wreath product modules, On the representation theory of the symmetric groups and associated Hecke algebras, Modular Irreducible Representations of Weyl Groups of TypeB_n, Single-hook characters and hamiltonian circuits^∗, A proof of the Murnaghan-Nakayama rule using Specht modules and tableau combinatorics, Irreducible modular representations of the reflection group \(G(m, 1, n)\)

Cites Work

• Unnamed Item
• Unnamed Item
• \(\lambda\)-rings and the representation theory of the symmetric group
• Specht modules and symmetric groups
• The modular characters of the symmetric groups
• The representation theory of the symmetric groups
• Specht series for skew representations of symmetric groups
• The Irreducible Representations of the Symmetric Groups
• Modular Representations of the Symmetric Group
• On a Conjecture by J. H. Chung
• Some Remarks on the Characters of the Symmetric Group
• A Generalization of the Young Diagram
• On the Representation of the Symmetric Group
• ON THE MODULAR REPRESENTATIONS OF THE SYMMETRIC GROUP VI