{
  "id": "1002.4607",
  "version": "v2",
  "published": "2010-02-24T20:25:34.000Z",
  "updated": "2010-06-22T20:05:29.000Z",
  "title": "Generalized Jack polynomials and the representation theory of rational Cherednik algebras",
  "authors": [
    "Charles Dunkl",
    "Stephen Griffeth"
  ],
  "comment": "20 pages; v2 updated based on reviewer feedback, now with somewhat expanded exposition and proofs",
  "journal": "Selecta Math. (N.S.) 16 (2010), 791-818",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We apply the Dunkl-Opdam operators and generalized Jack polynomials to study category O for the rational Cherednik algebra of type G(r,1,n). We determine the set of aspherical values, and answer a question of Iain Gordon on the ordering of category O.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-06-22T20:05:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10",
      "05E15",
      "16S35",
      "20C30",
      "16D90",
      "16S38",
      "16T30"
    ],
    "keywords": [
      "rational cherednik algebra",
      "generalized jack polynomials",
      "representation theory",
      "study category",
      "dunkl-opdam operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.4607D"
    }
  }
}