Relative higher relation modules, and a property of irreducible K- representations of \(GL_ n(K)\)

DOI10.1016/0021-8693(86)90241-3zbMath0632.20005OpenAlexW2060677367MaRDI QIDQ1095248

Brian Hartley

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90241-3

zbMATH Keywords

polynomial representationfinite subgroups of \(GL_ n(K)\)free submodulesrelative higher relation modules

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Algebraic systems of matrices (15A30)

Related Items (2)

FIXED VECTORS FOR ELEMENTS IN MODULES FOR ALGEBRAIC GROUPS ⋮ On modular relation modules and residual nilpotence

Cites Work

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• Homomorphismes abstraits de groupes algébriques simples
• Polynomial representations of \(GL_n\)
• Relative higher relation modules

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