Calogero-Moser space, restricted rational cherednik algebras and two-Sided cells

Abstract

We conjecture that the "nilpotent points"of Calogero-Moser space for reflection groups are parametrised naturally by the two-sided cells of the group with unequal parameters. The nilpotent points correspond to blocks of restricted Cherednik algebras and we describe these blocks in the case G = μ o Sn and show that in type B our description produces an existing conjectural description of two-sided cells. © International Press 2009.