The Calogero-Moser partition for G(m,d,n)

Bellamy, G. (2012) The Calogero-Moser partition for G(m,d,n). Nagoya Mathematical Journal, 207, pp. 47-77.

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Publisher's URL: http://projecteuclid.org/euclid.nmj/1343309818

Abstract

We show that it is possible to deduce the Calogero-Moser partition of the irreducible representations of the complex reflection groups G(m,d,n) from the corresponding partition for G(m,1,n). This confirms, in the case W = G(m,d,n), a conjecture of Gordon and Martino relating the Calogero-Moser partition to Rouquier families for the corresponding cyclotomic Hecke algebra.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Bellamy, Dr Gwyn
Authors: Bellamy, G.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Research Group:Algebra
Journal Name:Nagoya Mathematical Journal
ISSN:0027-7630
ISSN (Online):2152-6842
Published Online:01 September 2012

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