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Microlocalization of rational Cherednik algebras
Masaki Kashiwara and Raphaël Rouquier
Source: Duke Math. J. Volume 144, Number 3 (2008), 525-573.
Abstract
We construct a microlocalization of the rational Cherednik algebras $H$ of type $S_n$. This is achieved by a quantization of the Hilbert scheme $\mathrm{Hilb}^n{\mathbb C}^2$ of $n$ points in ${\mathbb C}^2$. We then prove the equivalence of the category of $H$-modules and that of modules over its microlocalization under certain conditions on the parameter
Primary Subjects: 16G89, 53D55
Secondary Subjects: 14C05
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1218811403
Digital Object Identifier: doi:10.1215/00127094-2008-043
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