On the Azumaya locus of almost commutative algebras
Quantum Algebra
2016-07-05 v3 Representation Theory
Abstract
We prove a general statement which implies the coincidence of the Azumaya and smooth loci of the center of an algebra in positive characteristic, provided that the spectrum of its associated graded algebra has a large symplectic leaf. In particular, we show that for a symplectic reflection algebra smooth and the Azumaya loci coincide.
Keywords
Cite
@article{arxiv.0912.0307,
title = {On the Azumaya locus of almost commutative algebras},
author = {Akaki Tikaradze},
journal= {arXiv preprint arXiv:0912.0307},
year = {2016}
}
Comments
7 pages, to appear in Proceedings of the AMS