A remark on rational Cherednik algebras and differential operators on the cyclic quiver
Representation Theory
2007-05-23 v1 Rings and Algebras
Abstract
We show that the spherical subalgebra of the rational Cherednik algebra associated to the wreath product of a symmetric group and a cyclic group is isomorphic to a quotient of the ring of invariant differential operators on a space of representations of the cyclic quiver. This confirms a version of a conjecture of Etingof and Ginzburg in the case of cyclic groups. The proof is a straightforward application of work of Oblomkov on the deformed Harish-Chandra homomorphism, and of Crawley-Boevey and of Gan and Ginzburg on preprojective algebras.
Keywords
Cite
@article{arxiv.math/0507413,
title = {A remark on rational Cherednik algebras and differential operators on the cyclic quiver},
author = {Iain Gordon},
journal= {arXiv preprint arXiv:math/0507413},
year = {2007}
}