RESTRICTIONS OF LARGE IRREDUCIBLE REPRESENTATIONS OF THE CLASSICAL GROUPS TO NATURALLY EMBEDDED SMALL SUBGROUPS CANNOT BE SEMISIMPLE

DOI10.1081/AGB-100105971zbMath0996.20029MaRDI QIDQ2769789

Irene D. Suprunenko

Publication date: 22 July 2002

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

zbMATH Keywords

irreducible modulesLevi subgroupshighest weightssimply connected groupssemisimple representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items (1)

In memoriam: Irina Dmitrievna Suprunenko (1954--2022)

Cites Work

• Unnamed Item
• Irreducible modules and parabolic subgroups
• On the semisimplicity of tensor products of representations of groups
• On Jordan blocks of elements of order \(p\) in irreducible representations of classical groups with \(p\)-large highest weights
• Small representations are completely reducible
• Semisimplicity of exterior powers of semisimple representations of groups
• Representations of Algebraic Groups
• Dimensional Criteria for Semisimplicity of Representations
• Semisimple Modules for Finite Groups of Lie Type

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