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

DOI10.1016/J.JALGEBRA.2011.01.011zbMath1235.16022OpenAlexW4212954774MaRDI QIDQ716468

Donald S.Passman

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.01.011

zbMATH Keywords

group algebrasgroup actionsinvariant idealsaugmentation idealstorus actionslocally-finite fields

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Finite fields (field-theoretic aspects) (12E20) Ideals in associative algebras (16D25)

Related Items (2)

Vector invariant ideals of abelian group algebras under the actions of the unitary groups and orthogonal groups ⋮ VECTOR INVARIANT IDEALS OF ABELIAN GROUP ALGEBRAS UNDER THE ACTION OF THE SYMPLECTIC GROUPS

Cites Work

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