Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity

Abstract

We study properties of graded maximal Cohen-Macaulay modules over an \mathbb{N}-graded locally finite, Auslander Gorenstein, and Cohen-Macaulay algebra of dimension two. As a consequence, we extend a part of the McKay correspondence in dimension two to a more general setting.

Keywords

Noncommutative quasi-resolution / Artin-Schelter regular algebra / Maximal Cohen-Macaulay module / pretzeled quivers

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