Irreducible representations of the symmetric groups from slash homologies of \(p\)-complexes

DOI10.5802/alco.153OpenAlexW3132005685MaRDI QIDQ2660380

Yanyan Li

Publication date: 30 March 2021

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09303

zbMATH Keywords

symmetric groupmodular representationpermutation module\(p\)-complex\(p\)-standard tableauslash cohomology

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30)

Cites Work

• Unnamed Item
• Unnamed Item
• Completely splittable representations of symmetric groups and affine Hecke algebras.
• Specht modules and symmetric groups
• A characteristic-free approach to the representation theory of \(\mathfrak S_n\)
• The representation theory of the symmetric groups
• On modular homology in the Boolean algebra. II
• A generalized SXP rule proved by bijections and involutions
• On bases of some simple modules of symmetric groups and Hecke algebras
• Tensor products and dimensions of simple modules for symmetric groups
• Completely splittable representations of symmetric groups
• On the dimension of some modular irreducible representations of the symmetric group
• An approach to categorification of some small quantum groups
• A new homology theory. I, II
• The Irreducible Representations of the Symmetric Groups
• Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux