The Modular Representation Theory of q-Schur Algebras

DOI10.2307/2154087zbMath0792.20009OpenAlexW4251562011MaRDI QIDQ3991822

Jie Du

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.2307/2154087

zbMATH Keywords

general linear groupsSchur algebras\(q\)-Schur algebrasrepresentation theorybasispolynomial representationsmodular representationsHecke algebramodular representationvertexdefect groupindecomposable moduleprimitive idempotentrelative norm

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Linear algebraic groups over finite fields (20G40) Representations of orders, lattices, algebras over commutative rings (16G30) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (8)

THE QUEER -SCHUR SUPERALGEBRA ⋮ An integral theory of dominant dimension of Noetherian algebras ⋮ Integral and graded quasi-hereditary algebras. I ⋮ Irreducible representations of \(q\)-Schur superalgebras at a root of unity. ⋮ Integral Schur algebras for \(GL_ 2\) ⋮ Representations of \(q\)-Schur superalgebras in positive characteristics ⋮ Codeterminants and \(q\)-Schur algebras. ⋮ MULTIPLICATION FORMULAS AND SEMISIMPLICITY FOR -SCHUR SUPERALGEBRAS

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