Microlocalization of rational Cherednik algebras

We construct a microlocalization of the rational Cherednik algebras H of type Sn. This is achieved by a quantization of the Hilbert scheme Hilbn ℂ2 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 o...

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Bibliographic Details
Main Authors: Kashiwara, M, Rouquier, R
Format: Journal article
Language:English
Published: 2008