{
  "id": "1009.3869",
  "version": "v2",
  "published": "2010-09-20T16:04:19.000Z",
  "updated": "2010-10-11T14:14:26.000Z",
  "title": "Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras",
  "authors": [
    "Jonathan S. Brown",
    "Simon M. Goodwin"
  ],
  "comment": "38 Pages; made some minor corrections",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP",
    "math.QA",
    "math.RA"
  ],
  "abstract": "We consider finite W-algebras U(g,e) associated to even multiplicity nilpotent elements in classical Lie algebras. We give a classification of finite dimensional irreducible U(g,e)-modules with integral central character in terms of the highest weight theory for finite W-algebras. As a corollary, we obtain a parametrization of primitive ideals of U(g) with associated variety the closure of the adjoint orbit of e and integral central character.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-11T14:14:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "81R05"
    ],
    "keywords": [
      "finite dimensional irreducible representations",
      "classical lie algebras",
      "multiplicity nilpotent orbits",
      "finite w-algebras",
      "integral central character"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 870567,
      "adsabs": "2010arXiv1009.3869B"
    }
  }
}