{
  "id": "1207.1299",
  "version": "v3",
  "published": "2012-07-05T17:02:52.000Z",
  "updated": "2013-05-22T05:49:05.000Z",
  "title": "Towards multiplicities for categories O of cyclotomic rational Cherednik algebras",
  "authors": [
    "Ivan Losev"
  ],
  "comment": "This paper has been withdrawn by the author. 25 pages; v2, 36 pages, substantial changes, more material added, replaced by arXiv:1305.4894",
  "categories": [
    "math.RT",
    "math.CO",
    "math.CT"
  ],
  "abstract": "Varagnolo and Vasserot conjectured an equivalence between the category O for a cyclotomic Rational Cherednik algebra and a truncation of an affine parabolic category O of type A. In this paper we reduce their conjecture to some purely combinatorial conjecture. Our principal tool for the reduction is the theory of categorical sl_2-actions on highest weight categories. Then we prove our combinatorial conjecture in some cases.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-05-22T05:49:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G99"
    ],
    "keywords": [
      "cyclotomic rational cherednik algebra",
      "multiplicities",
      "affine parabolic category",
      "highest weight categories",
      "purely combinatorial conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.1299L"
    }
  }
}