Microlocalization of rational Cherednik algebras
Representation Theory
2007-10-08 v2 Algebraic Geometry
Quantum Algebra
Abstract
We construct a microlocalization of the rational Cherednik algebras of type . This is achieved by a quantization of the Hilbert scheme of points in . We then prove the equivalence of the category of -modules and the one of modules over its microlocalization under certain conditions on the parameter.
Keywords
Cite
@article{arxiv.0705.1245,
title = {Microlocalization of rational Cherednik algebras},
author = {Masaki Kashiwara and Raphael Rouquier},
journal= {arXiv preprint arXiv:0705.1245},
year = {2007}
}