Calogero-Moser space, reduced rational Cherednik algebras, and two-sided cells
Representation Theory
2007-05-23 v1 Combinatorics
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(m,1,n) and show that in type B our description produces an existing conjectural description of two-sided cells.
Keywords
Cite
@article{arxiv.math/0703153,
title = {Calogero-Moser space, reduced rational Cherednik algebras, and two-sided cells},
author = {I. G. Gordon and M. Martino},
journal= {arXiv preprint arXiv:math/0703153},
year = {2007}
}