Rings graded equivalent to the Weyl algebra

Abstract

We consider the first Weyl algebra, A, in the Euler gradation, and completely classify graded rings B that are graded equivalent to A: that is, the categories gr-A and gr-B are equivalent. This includes some surprising examples: in particular, we show that A is graded equivalent to an idealizer in a localization of A. We obtain this classification as an application of a general Morita-type characterization of equivalences of graded module categories.

38 pages; minor changes to final published version

References in corpus (1)

• G-algebras, twistings, and equivalences of graded categories

Cited by in corpus (10)

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