A note on decomposition numbers for reductive algebraic groups

DOI10.1016/0021-8693(83)90029-7zbMath0505.20028OpenAlexW2077396971WikidataQ106330177 ScholiaQ106330177MaRDI QIDQ1835983

Stephen Donkin

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90029-7

zbMATH Keywords

rootsmultiplicitydecomposition numbersLevi factorBorel subgroupmaximal torusparabolic subgroupdominant weightscomposition factorsimple rational modulesconnected reductive affine algebraic group

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items (11)

On Ext-transfer for reductive Lie algebras ⋮ Ext spaces for general linear and symmetric groups ⋮ Representations of finite groups ⋮ A row removal theorem for the Ext¹ quiver of symmetric groups and Schur algebras ⋮ A note on decomposition numbers for general linear groups and symmetric groups ⋮ Extensions, Levi subgroups and character formulas. ⋮ Schur Algebras of Classical Groups II ⋮ Invariants of unipotent radicals ⋮ Tilting modules, symmetric functions, and the module structure of the free Lie algebra ⋮ Cohomology of induced representations for algebraic groups ⋮ On tilting modules for algebraic groups

Cites Work

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• Rational representations of algebraic groups: Tensor products and filtrations
• Moduln mit einem höchsten Gewicht
• Polynomial representations of \(GL_n\)
• On the decomposition matrices of the symmetric groups. III
• On the modular representations of the general linear and symmetric groups
• Induced modules and affine quotients

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