Noncommutative invariants of finite groups and Noetherian varieties

DOI10.1016/0022-4049(84)90079-3zbMath0529.16027OpenAlexW2064620832MaRDI QIDQ787252

Vladislav Kharchenko

Publication date: 1984

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90079-3

zbMATH Keywords

ring of invariantsaffine algebratensor algebravariety of algebrasalgebra of invariantsgeneric matricesgeneric matrix ringgroup actions on ringsideal of identities

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Automorphisms and endomorphisms (16W20) Rings with polynomial identity (16Rxx)

Related Items

Graded algebras, algebraic functions, planar trees, and elliptic integrals, Hilbert series of fixed free algebras and noncommutative classical invariant theory, Noether bound for invariants in relatively free algebras., Noncommutative invariants of bialgebras, Finitely generated invariants of Hopf algebras on free associative algebras., The noncommutative invariants of the finite subgroups of SL(2,\({\mathbb{C}})\), Symmetric polynomials in free associative algebras, Rationality of Hilbert series in noncommutative invariant theory, Prime ideals in fixed rings of free algebras, Relatively free invariant algebras of finite reflection groups, Invariants of universal enveloping algebras of relatively free Lie algebras, Unnamed Item, Rationality of the Hilbert series of Hopf-invariants of free algebras, Fixed Algebras of Residually Nilpotent Lie Algebras, S-algebras and commutative rings, Noncommutative classical invariant theory, Finite generation of invariants of finite linear groups on relatively free algebras, A Hilbert-Nagata theorem in noncommutative invariant theory, Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras., Invariants of finite linear groups on relatively free algebras, Symmetric polynomials in the variety generated by Grassmann algebras, Noncommutative invariants of reductive groups, Invariants of finite cyclic groups acting on generic matrices

Cites Work

• Algebras of invariants of free algebras
• Generalized identities with automorphisms
• Kahler Differentials and Hilbert's Fourteenth Problem for Finite Groups
• Fixed Points of Affine Cremona Transformations of the Plane Over an Algebraically Closed Field
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