Brown, K.A. and Changtong, K. (2010) Symplectic reflection algebras in positive characteristic. Proceedings of the Edinburgh Mathematical Society, 53(1), pp. 61-81. (doi: 10.1017/S0013091507001435)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Brown, Professor Ken |
| Authors: | Brown, K.A., and Changtong, K. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the Edinburgh Mathematical Society |
| ISSN: | 0013-0915 |
| ISSN (Online): | 1464-3839 |
| Published Online: | 12 January 2010 |
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