On some finite dimensional representations of symplectic reflection algebras associated to wreath products
| dc.creator | Montarani, Silvia | |
| dc.date | 2004-11-12 | |
| dc.date | 2004-12-17 | |
| dc.date.accessioned | 2026-07-07T05:14:16Z | |
| dc.date.available | 2026-07-07T05:14:16Z | |
| dc.description | Let G be a finite subgroup of SL(2,C). Let S_N#G^N be the wreath product of G by the symmetric group of degree N, acting symplectically on a complex vector space V of dimension 2N, with symplectic basis {x_i, y_i} i=1,...,N. In this paper we classify all the irreducible representations of S_N#G^N that can be extended to a representation of the associated symplectic reflection algebra H(k,c,N,G) (where k is a complex number and c a class function on the non-trivial elements of G) for non-zero values of k and with trivial action of the generators x_i,y_i\in H(k,c,N,G). | |
| dc.description | 15 pages, 5 figures, latex | |
| dc.identifier | https://arxiv.org/abs/math/0411286 | |
| dc.identifier | http://arxiv.org/abs/math/0411286 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73211 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.title | On some finite dimensional representations of symplectic reflection algebras associated to wreath products | |
| dc.type | text |