Invariant Theory of Finite Group Actions on Down-Up Algebras

2013/08/02 by Ellen Kirkman, Kirkman, E., James Kuzmanovich +3 · 2 citations
Mathematics · #16E65 #16S38 #16W22 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1308.0579

openalex publication_date 2013/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Quiver down-up algebras
• On the h-polynomials of cyclotomic standard graded commutative algebras

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