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Invariant Theory of Finite Group Actions on Down-Up Algebras

Rings and Algebras 2013-08-05 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1308.0579,
  title  = {Invariant Theory of Finite Group Actions on Down-Up Algebras},
  author = {E. Kirkman and J. Kuzmanovich and J. J. Zhang},
  journal= {arXiv preprint arXiv:1308.0579},
  year   = {2013}
}

Comments

47 pages