Bellamy, G. and Martino, M. (2013) On the smoothness of centres of rational Cherednik algebras in positive characteristic. Glasgow Mathematical Journal, 55(A), pp. 27-54. (doi: 10.1017/S0017089513000499)
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Publisher's URL: http://dx.doi.org/10.1017/S0017089513000499
Abstract
In this article we study rational Cherednik algebras at $t = 1$ in positive characteristic. We study a finite dimensional quotient of the rational Cherednik algebra called the restricted rational Cherednik algebra. When the corresponding pseudo-reflection group belongs to the infinite series $G(m,d,n)$, we describe explicitly the block decomposition of the restricted algebra. We also classify all pseudo-reflection groups for which the centre of the corresponding rational Cherednik algebra is regular for generic values of the deformation parameter.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Bellamy, Professor Gwyn |
Authors: | Bellamy, G., and Martino, M. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Glasgow Mathematical Journal |
Publisher: | Cambridge University Press |
ISSN: | 0017-0895 |
ISSN (Online): | 1469-509X |
Published Online: | 01 October 2013 |
Copyright Holders: | Copyright © 2013 Cambridge University Press |
First Published: | First published in Glasgow Mathematical Journal 55(A):27-54 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher. |
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