Invariant ideals of abelian group algebras and representations of groups of Lie type

DOI10.1090/S0002-9947-01-02805-7zbMath0981.16024WikidataQ115289152 ScholiaQ115289152MaRDI QIDQ2719056

Donald S.Passman, Alexander E. Zalesskij

Publication date: 14 May 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

group algebraslocally finite groupsidealsrational representationsinfinite simple groupsAbelian-by-simple groupsquasi-simple groups of Lie type

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Simple groups (20E32) Representation theory for linear algebraic groups (20G05) Group rings (16S34) Ideals in associative algebras (16D25)

Related Items

Invariant ideals and polynomial forms ⋮ Invariant ideals of abelian group algebras under the multiplicative action of a field. I

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On simple periodic linear groups -- dense subgroups, permutation representations, and induced modules
• Homomorphismes abstraits de groupes algébriques simples
• Augmentation modules for affine groups
• Abstract Homomorphisms of Algebraic Groups
• Representations of locally finite groups