Rings graded equivalent to the Weyl algebra
Rings and Algebras
2008-12-16 v2
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.
Cite
@article{arxiv.0711.1494,
title = {Rings graded equivalent to the Weyl algebra},
author = {Susan J. Sierra},
journal= {arXiv preprint arXiv:0711.1494},
year = {2008}
}
Comments
38 pages; minor changes to final published version