Cuspidal Calogero-Moser and Lusztig families for Coxeter groups

Bellamy, G. and Thiel, U. (2016) Cuspidal Calogero-Moser and Lusztig families for Coxeter groups. Journal of Algebra, 462, pp. 197-252. (doi:10.1016/j.jalgebra.2016.06.003)

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Abstract

The goal of this paper is to compute the cuspidal Calogero–Moser families for all infinite families of finite Coxeter groups, at all parameters. We do this by first computing the symplectic leaves of the associated Calogero–Moser space and then by classifying certain “rigid” modules. Numerical evidence suggests that there is a very close relationship between Calogero–Moser families and Lusztig families. Our classification shows that, additionally, the cuspidal Calogero–Moser families equal cuspidal Lusztig families for the infinite families of Coxeter groups.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Bellamy, Dr Gwyn
Authors: Bellamy, G., and Thiel, U.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Algebra
Publisher:Elsevier
ISSN:0021-8693
ISSN (Online):1090-266X
Published Online:14 June 2016
Copyright Holders:Copyright © 2016 Elsevier Inc.
First Published:First published in Journal of Algebra 462:197-252
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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