Calogero-Moser space, restricted rational Cherednik algebras and two-sided cells

I. G. Gordon, M. Martino
2009 Mathematical Research Letters  
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 ℓ ≀ Sn and show that in type B our description produces an existing conjectural description of two-sided cells.
doi:10.4310/mrl.2009.v16.n2.a4 fatcat:u3ofa3rri5hkzb42b3mhcuj4le