A complete reducibility criterion with an application to representations of semisimple groups

DOI10.1016/0021-8693(79)90122-4zbMath0451.20041OpenAlexW2054405817MaRDI QIDQ1147811

Timo Neuvonen

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90122-4

zbMATH Keywords

triangular decompositionhyperalgebrasimply connected semisimple algebraic groupfinite dimensional irreducible modules

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (1)

A note on Cabanes' decompositions for rational modules

Cites Work

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• Reflexivity and coalgebras of finite type
• A theorem on induced corepresentations and applications to finite group theory
• A criterion for complete reducibility of restricted Lie modules
• Induced Representations of Lie Algebras and a Theorem of Borel-Weil
• Induced Representations of Lie Algebras. II
• Representations of the Hyperalgebra of an Algebraic Group
• Representations of Chevalley Groups in Characteristic p

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