Fixed-point functors for symmetric groups and Schur algebras.

DOI10.1016/j.jalgebra.2004.04.014zbMath1079.20015OpenAlexW2109029245MaRDI QIDQ2386038

David J. Hemmer

Publication date: 22 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.04.014

zbMATH Keywords

Schur algebrasSpecht modulessymmetric groupsextensionssimple modulesdecomposition numberspermutation modulesrow removalSchur functorsYoung modulesfixed point functors

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (6)

Row and column removal theorems for homomorphisms of Specht modules and Weyl modules. ⋮ A row removal theorem for the Ext¹ quiver of symmetric groups and Schur algebras ⋮ On some trivial source Specht modules ⋮ On a result of Kiyota, Okuyama and Wada. ⋮ On the cohomology of Young modules for the symmetric group. ⋮ Invariants of Specht modules.

Cites Work

• Unnamed Item
• On \(p\)-Kostka numbers and Young modules.
• On comparing the cohomology of general linear and symmetric groups.
• The submodule structure of certain Weyl modules for groups of type \(A_ n\)
• Polynomial representations of \(GL_n\)
• On the decomposition matrices of the symmetric groups. III
• The representation theory of the symmetric groups
• Specht series for skew representations of symmetric groups
• Extensions of modules over Schur algebras, symmetric groups and Hecke algebras.
• Specht Filtrations for Hecke Algebras of Type A

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