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

• Autores: Iain G. Gordon, M. Martino
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 2-3, 2009, págs. 255-262
• Idioma: inglés
• DOI: 10.4310/mrl.2009.v16.n2.a4
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• Resumen

  • 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.