Asymptotic results on modular representations of symmetric groups and almost simple modular group algebras

DOI10.1006/jabr.1999.7923zbMath0946.20004OpenAlexW2008109375MaRDI QIDQ1305440

A. A. Baranov, Alexander E. Zalesskij, Alexander S. Kleshchev

Publication date: 2 August 2000

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

Full work available at URL: https://semanticscholar.org/paper/250fb42de7132afc12c377e0ff109642285b60c9

zbMATH Keywords

representations of symmetric groupsirreducible modulesmodular group algebrasalmost simple algebraslimit alternating groupsmodular branching theorem

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07)

Related Items

Irreducible restrictions of representations of symmetric and alternating groups in small characteristics ⋮ Irreducible tensor products for alternating groups in characteristics 2 and 3 ⋮ Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛) ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Irreducible tensor products for alternating groups in characteristic \(5\) ⋮ Lower bounds for dimensions of irreducible representations of symmetric groups ⋮ Irreducible tensor products over alternating groups ⋮ Irreducible tensor products of representations of covering groups of symmetric and alternating groups ⋮ On self-extensions of irreducible modules over symmetric groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the decomposition matrices of the symmetric groups. II
• The representation theory of the symmetric groups
• A proof of the Mullineux conjecture
• On residue symbols and the Mullineux conjecture
• Completely splittable representations of symmetric groups
• Group Rings with Simple Augmentation Ideals
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• Maximal ideals in modular group algebras of the finitary symmetric and alternating groups
• Branching rules for two row partitions and applications to the inductive systems for symmetric groups
• Semiprimitivity of Group Algebras of Locally Finite Simple Groups
• Semiprimitivity of Group Algebras of Infinite Simple Groups of Lie Type
• Branching rules for modular representations of symmetric groups, II.
• On Decomposition Numbers and Branching Coefficients for Symmetric and Special Linear Groups
• Orbit Lengths of Permutation Groups, and Group Rings of Locally Finite Simple Groups of Alternating Type
• Tensor Products of Representations of Finite Groups