A remark on rational Cherednik algebras and differential operators on the cyclic quiver
| dc.creator | Gordon, Iain | |
| dc.date | 2005-07-20 | |
| dc.date.accessioned | 2026-07-07T05:21:52Z | |
| dc.date.available | 2026-07-07T05:21:52Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0507413 | |
| dc.identifier | http://arxiv.org/abs/math/0507413 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75846 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.title | A remark on rational Cherednik algebras and differential operators on the cyclic quiver | |
| dc.type | text |