Invariant ideals of Abelian group algebras under the torus action of a field. I.

DOI10.1016/J.JALGEBRA.2010.01.023zbMath1217.16020OpenAlexW2085088843MaRDI QIDQ626703

Donald S.Passman

Publication date: 18 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.01.023

zbMATH Keywords

group algebrasgroup actionsinvariant idealstorus actions

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ideals in associative algebras (16D25)

Related Items (3)

Vector invariant ideals of abelian group algebras under the actions of the unitary groups and orthogonal groups ⋮ Invariant ideals of Abelian group algebras under the torus action of a field. II. ⋮ VECTOR INVARIANT IDEALS OF ABELIAN GROUP ALGEBRAS UNDER THE ACTION OF THE SYMPLECTIC GROUPS

Cites Work

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• Inversion invariant additive subgroups of division rings
• Augmentation modules for affine groups
• Invariant ideals of abelian group algebras under the multiplicative action of a field. I
• Invariant ideals of abelian group algebras under the multiplicative action of a field. II
• Observations on group rings

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