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arxiv 0801.1627 v2 pith:6UPW5SQB submitted 2008-01-10 math.RT

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

classification math.RT
keywords groupalgebrascomplexconjecturefamiliesreflectionrouquierblocks
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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 $l$.

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