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

Abstract

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 $l$.

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

References in corpus (5)

• On singular Calogero-Moser spaces
• Quiver varieties, category O for rational Cherednik algebras, and Hecke algebras
• On the cyclotomic Hecke algebras of complex reflection groups
• Blocks and families for cyclotomic Hecke algebras
• Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions

Cited by in corpus (1)

• The Calogero-Moser partition for wreath products