A row removal theorem for the Ext¹ quiver of symmetric groups and Schur algebras

DOI10.1090/S0002-9939-04-07575-6zbMath1068.20013OpenAlexW1526406163MaRDI QIDQ4825629

David J. Hemmer

Publication date: 28 October 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07575-6

zbMATH Keywords

Schur algebrasSpecht modulessymmetric groupsextensionssimple modulesrow removalSchur functorsfixed 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)

On some trivial source Specht modules ⋮ Composition factors of tensor products of truncated symmetric powers. ⋮ Extensions, Levi subgroups and character formulas. ⋮ HOMOMORPHISMS AND HIGHER EXTENSIONS FOR SCHUR ALGEBRAS AND SYMMETRIC GROUPS ⋮ Invariants of Specht modules. ⋮ Semistandard filtrations in highest weight categories.

Cites Work

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• On Schur algebras and related algebras. II
• Polynomial representations of \(GL_n\)
• On the decomposition matrices of the symmetric groups. III
• The representation theory of the symmetric groups
• A note on decomposition numbers for reductive algebraic groups
• On extensions of simple modules over symmetric and algebraic groups
• Fixed-point functors for symmetric groups and Schur algebras.
• A note on decomposition numbers for general linear groups and symmetric groups

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