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INVARIANT THEORY OF FINITE GROUP ACTIONS ON DOWN-UP ALGEBRAS

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Abstract

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

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Authors and Affiliations

  1. Department of Mathematics, Wake Forest University, P. O. Box 7388, Winston-Salem, NC, 27109, USA

    E. KIRKMAN & J. KUZMANOVICH

  2. Department of Mathematics, University of Washington, Box 354350, Seattle, Washington, 98195, USA

    J. J. ZHANG

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  1. E. KIRKMAN
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  2. J. KUZMANOVICH
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  3. J. J. ZHANG
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Correspondence to J. J. ZHANG.

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KIRKMAN, E., KUZMANOVICH, J. & ZHANG, J.J. INVARIANT THEORY OF FINITE GROUP ACTIONS ON DOWN-UP ALGEBRAS. Transformation Groups 20, 113–165 (2015). https://doi.org/10.1007/s00031-014-9279-4

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