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Actions of Drinfeld doubles of finite groups on Artin-Schelter regular algebras (2405.18310v1)
Published 28 May 2024 in math.RA, math.QA, and math.RT
Abstract: For a finite group $G$ and $\Bbbk$ an algebraically closed field of characteristic zero we consider Artin-Schelter regular algebras $A$ on which the Drinfeld double $D(G)$ acts inner faithfully, and its associated algebras of invariants $A{D(G)}$. Explicit computations for the cases when $G$ is the (generalized) quaternion group of order 8 and 16 are given.
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