Branching rules for two row partitions and applications to the inductive systems for symmetric groups

DOI10.1080/00927879908826628zbMath0958.20020OpenAlexW2117454102MaRDI QIDQ4253130

J. K. Sheth

Publication date: 17 April 2001

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

Full work available at URL: https://doi.org/10.1080/00927879908826628

zbMATH Keywords

symmetric groupsirreducible representationscomposition factorsmodular representationsYoung diagramsbranching theorem

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items

The quadratic type of certain irreducible modules for the symmetric group in characteristic two. ⋮ Irreducible restrictions of representations of symmetric and alternating groups in small characteristics ⋮ Modular functions and resolvent problems (with an appendix by Nate Harman) ⋮ The submodule structure of Specht modules. ⋮ Irreducible tensor products for alternating groups in characteristics 2 and 3 ⋮ On \(p\)-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree. ⋮ On \(p\)-Kostka numbers and Young modules. ⋮ Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems ⋮ On modular homology in the Boolean algebra. III ⋮ MODULAR BRANCHING RULES FOR 2-COLUMN DIAGRAM REPRESENTATIONS OF GENERAL LINEAR GROUPS ⋮ On the Structure of the Tensor Square of the Natural Module of the Symmetric Group ⋮ Connections between the representations of the symmetric groups and the symplectic group in characteristic \(2\) ⋮ On the complexities of some simple modules of symmetric groups ⋮ Asymptotic results on modular representations of symmetric groups and almost simple modular group algebras

Cites Work

• Modular group rings of the finitary symmetric group
• On the decomposition matrices of the symmetric groups. II
• On modular homology in the Boolean algebra. II
• Tensor products and dimensions of simple modules for symmetric groups
• Completely splittable representations of symmetric groups
• On the Representation Theory of the Symmetric Groups
• Maximal ideals in modular group algebras of the finitary symmetric and alternating groups
• Branching rules for modular representations of symmetric groups, II.
• On Decomposition Numbers and Branching Coefficients for Symmetric and Special Linear Groups