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arXiv · 1607.06977

McKay Correspondence for semisimple Hopf actions on regular graded algebras, I

Kenneth Chan·Ellen Kirkman·Chelsea Walton·James Zhang
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Abstract

In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin-Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A^H under such an action arises an analogue of a coordinate ring of a Kleinian singularity.

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Kenneth Chan, Ellen Kirkman, Chelsea Walton, James Zhang. 2016-07-23. McKay Correspondence for semisimple Hopf actions on regular graded algebras, I. https://arxiv.org/abs/1607.06977

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