Vector invariant ideals of abelian group algebras under the actions of the unitary groups and orthogonal groups

DOI10.1007/s10587-016-0310-xzbMath1397.13013OpenAlexW2550865757MaRDI QIDQ2955925

Lingli Zeng, Ji Zhu Nan

Publication date: 13 January 2017

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/145919

zbMATH Keywords

orthogonal groupgroup algebraunitary groupvector invariant ideal

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Actions of groups on commutative rings; invariant theory (13A50)

Cites Work

• Invariant ideals of Abelian group algebras under the torus action of a field. I.
• Invariant ideals of Abelian group algebras under the torus action of a field. II.
• On vector invariants over finite fields
• Explicit generators of the invariants of finite groups
• 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
• VECTOR INVARIANT IDEALS OF ABELIAN GROUP ALGEBRAS UNDER THE ACTION OF THE SYMPLECTIC GROUPS
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