Symmetric Group Modules with Specht and Dual Specht Filtrations

DOI10.1080/00927870701410611zbMath1151.20010arXivmath/0608181OpenAlexW1990579851MaRDI QIDQ5432588

David J. Hemmer

Publication date: 17 December 2007

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

Full work available at URL: https://arxiv.org/abs/math/0608181

zbMATH Keywords

Specht modulessymmetric groupstilting modulescohomologySchur functorsYoung modulesSpecht filtrationsfiltration multiplicities

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items (5)

A family of modules with Specht and dual Specht filtrations. ⋮ Irreducible Specht modules are signed Young modules. ⋮ Specht and dual Specht filtrations of \(p\)-permutation \(KS_{2p}\)-modules. ⋮ Multiplicity-free representations of symmetric groups. ⋮ Split-By-Nilpotent Extensions Algebras and Stratifying Systems

Cites Work

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• Irreducible Specht modules for Hecke algebras of type \(A\).
• On comparing the cohomology of general linear and symmetric groups.
• Irreducible Specht modules are signed Young modules.
• The representation theory of the symmetric groups
• On tilting modules for algebraic groups
• Extensions of modules over Schur algebras, symmetric groups and Hecke algebras.
• On cohomology of dual Specht modules
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• A family of modules with Specht and dual Specht filtrations.
• Young modules for symmetric groups
• STRATIFYING SYSTEMS, FILTRATION MULTIPLICITIES AND SYMMETRIC GROUPS
• PROJECTIVE INDECOMPOSABLE MODULES FOR SYMMETRIC GROUPS I

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