Finite dimensional representations of symplectic reflection algebras associated to wreath products
| dc.creator | Etingof, Pavel | |
| dc.creator | Montarani, Silvia | |
| dc.date | 2004-03-15 | |
| dc.date | 2004-06-09 | |
| dc.date.accessioned | 2026-07-07T05:06:26Z | |
| dc.date.available | 2026-07-07T05:06:26Z | |
| dc.description | In this paper we construct finite dimensional representations of the wreath product symplectic reflection algebra H(k,c,N,G) of rank N attached to a finite subgroup G of SL(2,C) (here k is a number and c a class function on the set of nontrivial elements of G). Specifically, we show that if W is an irreducible representation of S_N whose Young diagram is a rectangle, and Y an irreduible finite dimensional representation of H(c,1,G), then the representation M=W\otimes Y^N of H(0,c_0,N,G) can be deformed along a hyperplane in the space of parameters (k,c) passing through c_0. On the other hand, if Y is 1-dimensional and the Young diagram of W is not a rectangle, such a deformation does not exist. | |
| dc.description | 10 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math/0403250 | |
| dc.identifier | http://arxiv.org/abs/math/0403250 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70466 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.title | Finite dimensional representations of symplectic reflection algebras associated to wreath products | |
| dc.type | text |