Schur subalgebras and an application to the symmetric group

DOI10.1006/jabr.2000.8421zbMath0979.20016OpenAlexW2046805209MaRDI QIDQ5925803

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Publication date: 14 February 2002

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

Full work available at URL: https://semanticscholar.org/paper/376477d569ffd096afa6ce56d78a0897c927f858

zbMATH Keywords

partitionsidempotentsendomorphism ringsgroup algebrasSchur algebrasSpecht modulessymmetric groups

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of orders, lattices, algebras over commutative rings (16G30) Representations of finite symmetric groups (20C30)

Related Items (7)

Schur subalgebras ⋮ \(q\)-Schur subalgebras. ⋮ On \(p\)-Kostka numbers and Young modules. ⋮ Dominant dimension and almost relatively true versions of Schur's theorem. ⋮ On the Structure of the Tensor Square of the Natural Module of the Symmetric Group ⋮ Schur subalgebras. II ⋮ On Schur algebras, Ringel duality and symmetric groups.

Cites Work

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• On Schur algebras and related algebras. II
• Polynomial representations of \(GL_n\)
• Representations of the symmetric groups over the field of order 2
• On the decomposition matrices of the symmetric groups. I
• The representation theory of the symmetric groups
• On quotients of Hom-functors and representations of finite general linear groups. II
• Four encounters with Sierpiński's gasket
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• The Cartan matrix of the Schur algebra \(S(2,r)\).

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