Microlocalization of rational Cherednik algebras
Kashiwara, Masaki ; Rouquier, Raphaël
Duke Math. J., Tome 141 (2008) no. 1, p. 525-573 / Harvested from Project Euclid
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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
Publié le : 2008-09-15
Classification:  16G89,  53D55,  14C05 
@article{1218811403,
     author = {Kashiwara, Masaki and Rouquier, Rapha\"el},
     title = {Microlocalization of rational Cherednik algebras},
     journal = {Duke Math. J.},
     volume = {141},
     number = {1},
     year = {2008},
     pages = { 525-573},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1218811403}
}

Kashiwara, Masaki; Rouquier, Raphaël. Microlocalization of rational Cherednik algebras. Duke Math. J., Tome 141 (2008) no. 1, pp.  525-573. http://gdmltest.u-ga.fr/item/1218811403/