Publication:1868753

{{DISPLAYTITLE:Variations on a theme of Steinberg.

DOI10.1016/S0021-8693(02)00649-XzbMath1054.20026MaRDI QIDQ1868753

Martin W. Liebeck, Gary M. Seitz

Publication date: 28 April 2003

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

zbMATH Keywords

irreducible representationssimple algebraic groupscomplete reducibilitySteinberg tensor product theoremtwisted tensor products of restricted representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items

Completely reducible $\operatorname{SL}(2)$-homomorphisms, Unipotent centralizers in algebraic groups., Cocharacter-closure and the rational Hilbert-Mumford theorem, Algebras with finitely generated invariant subalgebras., Irreducible \(A_1\) subgroups of exceptional algebraic groups, Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras., Simple irreducible subgroups of exceptional algebraic groups., A geometric approach to complete reducibility., Complete reducibility and separability, The Irreducible Subgroups of Exceptional Algebraic Groups, $G$-complete reducibility in non-connected groups, Closed orbits and uniform $S$-instability in geometric invariant theory

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• Dimensional Criteria for Semisimplicity of Representations
• The maximal subgroups of positive dimension in exceptional algebraic groups
• Jordan block sizes of unipotent elements in exceptional algebraic groups
• Reductive subgroups of exceptional algebraic groups
• On the subgroup structure of classical groups