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arXiv:0911.0066 [math.RT]AbstractReferencesReviewsResources

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

Gwyn Bellamy

Published 2009-10-31, updated 2011-03-02Version 3

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.

Comments: 23 pages; minor revision of section 7; to appear in Nagoya Journal of Mathematics
Categories: math.RT
Subjects: 16G99, 05E10
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