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

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

2007-03-06

arxiv.org/abs/math/0703153v1

Mathematics

Representation Theory

Scientific paper

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.

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