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arXiv:0801.1627 [math.RT]AbstractReferencesReviewsResources

The Calogero-Moser partition and Rouquier families for complex reflection groups

Maurizio Martino

Published 2008-01-10, updated 2009-03-13Version 2

Let $W$ be a complex reflection group. We formulate a conjecture relating blocks of the corresponding restricted rational Cherednik algebras and Rouquier families for cyclotomic Hecke algebras. We verify the conjecture in the case that $W$ is a wreath product of a symmetric group with a cyclic group of order $l$.

Comments: Completely rewritten with updated conjecture and a proof of the conjecture for wreath products (thus incorporating the main result of arXiv:0804.2591)
Categories: math.RT
Subjects: 16G99, 16S38, 16S80, 20C08
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