VECTOR INVARIANT IDEALS OF ABELIAN GROUP ALGEBRAS UNDER THE ACTION OF THE SYMPLECTIC GROUPS

DOI10.1142/S0219498813500461zbMath1282.16030MaRDI QIDQ2847691

Lingli Zeng, Ji Zhu Nan

Publication date: 11 September 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

group algebrassymplectic groupsgroup actionsvector invariant ideals

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Ideals in associative algebras (16D25)

Related Items (1)

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

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
• Invariants of finite groups over fields of characteristic \(p\)
• 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

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