Invariants of finite linear groups on relatively free algebras

DOI10.1016/0024-3795(85)90144-2zbMath0579.20039OpenAlexW1984005855MaRDI QIDQ1067010

Robert M. Guralnick

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90144-2

zbMATH Keywords

tensor algebraaction of a finite groupideal of identitiesfinite dimensional vector spacequasireflection groupring of generic matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Vector and tensor algebra, theory of invariants (15A72) Linear algebraic groups over adèles and other rings and schemes (20G35) Rings with polynomial identity (16Rxx)

Related Items (3)

Relatively free invariant algebras of finite reflection groups ⋮ Unnamed Item ⋮ Invariants of finite cyclic groups acting on generic matrices

Cites Work

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• Noncommutative invariants of finite groups and Noetherian varieties
• On a six dimensional projective representation of \(\text{PSU}_4(3)\).
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• Differential Equations Invariant Under Finite Reflection Groups
• On the simple group of order 25920
• Regular Complex Polytopes
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections

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