{
  "id": "math/0411286",
  "version": "v2",
  "published": "2004-11-12T15:02:39.000Z",
  "updated": "2004-12-17T20:35:59.000Z",
  "title": "On some finite dimensional representations of symplectic reflection algebras associated to wreath products",
  "authors": [
    "Silvia Montarani"
  ],
  "comment": "15 pages, 5 figures, latex",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "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).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-12-17T20:35:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symplectic reflection algebras",
      "finite dimensional representations",
      "wreath product",
      "complex vector space",
      "associated symplectic reflection algebra"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11286M"
    }
  }
}