CALOGERO-MOSER SPACE, RESTRICTED RATIONAL CHEREDNIK ALGEBRAS AND TWO-SIDED CELLS.

I. G. Gordon; M. Martino

doi:10.4310/MRL.2009.v16.n2.a4

CALOGERO-MOSER SPACE, RESTRICTED RATIONAL CHEREDNIK ALGEBRAS AND TWO-SIDED CELLS.

I. G. Gordon, M. Martino

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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 = mu(l) (sic) G(n) and show that in type B our description produces an existing conjectural description of two-sided cells.

Original language	English
Pages (from-to)	255-262
Number of pages	8
Journal	Mathematical research letters
Volume	16
Issue number	2-3
DOIs	https://doi.org/10.4310/MRL.2009.v16.n2.a4
Publication status	Published - 2009

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Calogero moser Space Restricted Rational Cherednik AlgerbrasAccepted author manuscript, 616 KB

http://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0016/0002/00020420/

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CALOGERO-MOSER SPACE, RESTRICTED RATIONAL CHEREDNIK ALGEBRAS AND TWO-SIDED CELLS.

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