On projective and injective polynomial modules.

DOI10.1007/s00209-005-0805-xzbMath1086.20023OpenAlexW2136105703WikidataQ114231090 ScholiaQ114231090MaRDI QIDQ2571400

Stephen Donkin, Maud De Visscher

Publication date: 2 November 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://openaccess.city.ac.uk/id/eprint/969/1/prinjjan12.pdf

zbMATH Keywords

tilting modulesquantum groupspolynomial representationshighest weightsMullineux maps

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (5)

Composition factors of tensor products of truncated symmetric powers. ⋮ Permanents, Doty coalgebras and dominant dimension of Schur algebras ⋮ On the representation dimension of Schur algebras. ⋮ Endomorphism algebras of some modules for Schur algebras and representation dimension. ⋮ Orbit closures and invariants

Cites Work

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• Rational representations of algebraic groups: Tensor products and filtrations
• Blocks and indecomposable modules for semisimple algebraic groups
• The blocks of the \(q\)-Schur algebra
• On tilting modules for algebraic groups
• On Schur algebras and related algebras. IV: The blocks of the Schur algebras
• A sum formula for tilting filtrations
• Standard homological properties for quantum \(GL_ n\)
• Quantum GL_n
• Modular Branching Rules and the Mullineux Map for Hecke Algebras of Type A
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups

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