Rings graded equivalent to the Weyl algebra
arXiv:0711.1494 · doi:10.1016/j.jalgebra.2008.10.011
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