Semisimplicity of exterior powers of semisimple representations of groups

DOI10.1006/jabr.1999.8132zbMath0971.20005OpenAlexW1993623327MaRDI QIDQ1972416

George J. McNinch

Publication date: 11 July 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8132

zbMATH Keywords

linear algebraic groupsexterior powerssemisimple representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (4)

Some good-filtration subgroups of simple algebraic groups. ⋮ Generically free representations. II: Irreducible representations ⋮ RESTRICTIONS OF LARGE IRREDUCIBLE REPRESENTATIONS OF THE CLASSICAL GROUPS TO NATURALLY EMBEDDED SMALL SUBGROUPS CANNOT BE SEMISIMPLE ⋮ Symmetric powers and a problem of Kollár and Larsen.

Cites Work

• On the semisimplicity of tensor products of representations of groups
• Filtrations and positive characteristic Howe duality
• The maximal subgroups of classical algebraic groups
• Filtrations of $G$-modules
• Dimensional Criteria for Semisimplicity of Representations
• Semisimple Modules for Finite Groups of Lie Type
• La Notion D’anneau de Décomposition
• Linear algebraic groups.
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