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


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 $l$.Comment: Completely rewritten with updated conjecture and a proof of the conjecture for wreath products (thus incorporating the main result of arXiv:0804.2591

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