On the smoothness of centres of rational Cherednik algebras in positive characteristic

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
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Bellamy, Dr 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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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
620601Geometric methods in representation theory of rational Cherednik algebrasGwyn BellamyEngineering & Physical Sciences Research Council (EPSRC)EP/H028153/1M&S - MATHEMATICS