Invariant Theory of Finite Group Actions on Down-Up Algebras

E. Kirkman; J.J. Zhang; J. Kuzmanovich

arxiv: 1308.0579 · v1 · pith:VLXWNAPCnew · submitted 2013-08-02 · 🧮 math.RA

Invariant Theory of Finite Group Actions on Down-Up Algebras

E. Kirkman , J. Kuzmanovich , J.J. Zhang This is my paper

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keywords algebrasactionsartin-schelterfinitegroupdimensiondown-upfixed

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We study Artin-Schelter Gorenstein fixed subrings of some Artin-Schelter regular algebras of dimension 2 and 3 under finite group actions, and prove a noncommutative version of the Kac-Watanabe and Gordeev theorem for these algebras.

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Invariant Theory of Finite Group Actions on Down-Up Algebras

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