{
  "id": "1011.4126",
  "version": "v1",
  "published": "2010-11-18T02:46:46.000Z",
  "updated": "2010-11-18T02:46:46.000Z",
  "title": "Category O for the rational Cherednik algebra associated to the complex reflection group G_12",
  "authors": [
    "Martina Balagovic",
    "Christopher Policastro"
  ],
  "comment": "24 pages. Comments welcome",
  "journal": "Journal of Pure and Applied Algebra, Volume 216, Issue 4, April 2012, Pages 857-875",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we describe the irreducible representations in category O of the rational Cherednik algebra H_c(G_12,h) associated to the complex reflection group G_12 with reflection representation h for an arbitary complex parameter c. In particular, we determine the irreducible finite dimensional representations and compute their characters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-18T02:46:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "complex reflection group",
      "rational cherednik algebra",
      "arbitary complex parameter",
      "irreducible finite dimensional representations",
      "reflection representation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.4126B"
    }
  }
}