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

2007/03/06 by I. G. Gordon, M. Martino, Gordon, I. G. +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT

paper · pdf · doi:10.48550/arxiv.math/0703153

arxiv created 2007/03/06 · arxiv updated 2009/12/01

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.

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