Symplectic reflection algebras in positive characteristic
Rings and Algebras
2007-09-17 v1 Representation Theory
Abstract
Basic properties of symplectic reflection algebras over an algebraically closed field k of positive characteristic are laid out. These algebras are always finite modules over their centres, in contrast to the situation in characteristic 0. For the subclass of rational Cherednik algebras, we determine the PI-degree and the Goldie rank, and show that the Azumaya and smooth loci of the centre coincide.
Cite
@article{arxiv.0709.2338,
title = {Symplectic reflection algebras in positive characteristic},
author = {Kenneth A. Brown and Kanokporn Changtong},
journal= {arXiv preprint arXiv:0709.2338},
year = {2007}
}
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20 pages