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- W4312092007 abstract "We consider the action of a semisimple Hopf algebra $H$ on an $m$-Koszul Artin-Schelter regular algebra $A$. Such an algebra $A$ is a derivation-quotient algebra for some twisted superpotential $mathsf{w}$, and we show that the homological determinant of the action of $H$ on $A$ can be easily calculated using $mathsf{w}$. Using this, we show that the smash product $A,#,H$ is also a derivation-quotient algebra, and use this to explicitly determine a quiver algebra $Lambda$ to which $A,#,H$ is Morita equivalent, generalising a result of Bocklandt-Schedler-Wemyss. We also show how $Lambda$ can be used to determine whether the Auslander map is an isomorphism. We compute a number of examples, and show how several results for the quantum Kleinian singularities studied by Chan-Kirkman-Walton-Zhang follow using our techniques." @default.
- W4312092007 created "2023-01-04" @default.
- W4312092007 creator A5008969244 @default.
- W4312092007 date "2021-03-30" @default.
- W4312092007 modified "2023-10-14" @default.
- W4312092007 title "Superpotentials and Quiver Algebras for Semisimple Hopf Actions" @default.
- W4312092007 doi "https://doi.org/10.48550/arxiv.2103.16675" @default.
- W4312092007 hasPublicationYear "2021" @default.
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