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

Mathematics – Representation Theory

Scientific paper

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Completely rewritten with updated conjecture and a proof of the conjecture for wreath products (thus incorporating the main re

Scientific paper

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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