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Microlocalization of rational Cherednik algebras
Masaki Kashiwara, Raphaël Rouquier
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Source: Crossref
Published: Sep 15, 2008
DOI: 10.1215/00127094-2008-043
Open original source ↗Source abstract
We construct a microlocalization of the rational Cherednik algebras H of type Sn. This is achieved by a quantization of the Hilbert scheme HilbnC2 of n points in C2. We then prove the equivalence of the category of H-modules and that of modules over its microlocalization under certain conditions on the parameter
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