Comparing GL n -representations by characteristic-free isomorphisms between generalized Schur algebras

DOI10.1515/FORUM.2008.003zbMath1151.20035arXiv0708.4019MaRDI QIDQ5451985

Anne Henke, Ming Fang, Stephen Donkin, Steffen Koenig

Publication date: 27 March 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.4019

zbMATH Keywords

general linear groupsdecomposition numberspolynomial representationshighest weightsequivalences of categoriesquasihereditary algebrastensor products of simple modulesgeneralized Schur algebras\(p\)-Kostka numberssimple composition factors

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Representations of associative Artinian rings (16G10)

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On signed Young permutation modules and signed \(p\)-Kostka numbers ⋮ On the representation dimension of Schur algebras. ⋮ On signed \(p\)-Kostka matrices ⋮ Complements of tableaux and straightening bideterminants ⋮ The integral isomorphism behind row removal phenomena for schur algebras

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