Mathematical Research Letters

Volume 16, Issue 2, March 2009 pp. 255-262.

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

Authors: I.G. Gordon (1) and M. Martino (2)
Author institution: University of Edinburgh (1) and Universität Bonn (2)

Summary: 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 $G = \mu_{\ell}\wr \mathfrak{S}_n$ and show that in type $B$ our description produces an existing conjectural description of two-sided cells.

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