Endomorphism rings of permutation modules over maximal Young subgroups.

DOI10.1016/j.jalgebra.2006.02.040zbMath1151.20009arXivmath/0601134OpenAlexW2005001569MaRDI QIDQ863369

Anne Henke, Karin Erdmann, Stephen R. Doty

Publication date: 26 January 2007

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

Full work available at URL: https://arxiv.org/abs/math/0601134

zbMATH Keywords

group algebrasSchur algebrassymmetric groupsrepresentation theorypermutation modulesorthogonal primitive idempotents\(p\)-Kostka numberscentraliser algebras

Mathematics Subject Classification ID

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

Related Items (4)

Endomorphism rings of some Young modules. ⋮ The Loewy structure of certain fixpoint algebras. I ⋮ The multistep homology of the simplex and representations of symmetric groups ⋮ Endomorphism algebras of 2-row permutation modules in characteristic 3

Cites Work

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• On \(p\)-Kostka numbers and Young modules.
• A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
• Polynomial representations of \(GL_n\)
• The representation theory of the symmetric groups
• On tilting modules for algebraic groups
• Presenting Schur algebras as quotients of the universal enveloping algebra of \(\mathfrak{gl}_2\).
• A generic algebra associated to certain Hecke algebras.
• Modular Permutation Representations
• Introduction to quantum groups

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