Mathematics – Representation Theory
Scientific paper
2008-01-10
Mathematics
Representation Theory
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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