Invariants of (-1)-Skew Polynomial Rings under Permutation Representations

zbMath1335.16030arXiv1305.3973MaRDI QIDQ3464524

Ellen E. Kirkman, James J. Zhang, James J. Kuzmanovich

Publication date: 27 January 2016

Full work available at URL: https://arxiv.org/abs/1305.3973

zbMATH Keywords

rings of invariantsskew polynomial ringscomplete intersectionspermutation groupsHilbert seriessymmetric functionsfixed subrings

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65)

Related Items (13)

Zariski cancellation problem for noncommutative algebras ⋮ Invariant theory of Artin-Schelter regular algebras: a survey ⋮ Auslander theorem for PI Artin-Schelter regular algebras ⋮ Noncommutative cyclic isolated singularities ⋮ The discriminant controls automorphism groups of noncommutative algebras. ⋮ Auslander’s Theorem for permutation actions on noncommutative algebras ⋮ Three infinite families of reflection Hopf algebras ⋮ Noncommutative Auslander theorem ⋮ On the Noether bound for noncommutative rings ⋮ Degree bounds for Hopf actions on Artin-Schelter regular algebras ⋮ Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras ⋮ Noncommutative complete intersections ⋮ Invariant theory of finite group actions on down-up algebras

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