{
  "id": "1011.0211",
  "version": "v1",
  "published": "2010-10-31T21:30:19.000Z",
  "updated": "2010-10-31T21:30:19.000Z",
  "title": "On isomorphisms of certain functors for Cherednik algebras",
  "authors": [
    "Ivan Losev"
  ],
  "comment": "15 pages, comments welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "Bezrukavnikov and Etingof introduced some functors between the categories O for rational Cherednik algebras. Namely, they defined two induction functors Ind_b, ind_\\lambda and two restriction functors Res_b,res_\\lambda. They conjectured that one has functor isomorphisms $Ind_b\\cong ind_\\lambda, Res_b\\cong res_\\lambda$. The goal of this paper is to prove this conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-31T21:30:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G99"
    ],
    "keywords": [
      "rational cherednik algebras",
      "conjecture",
      "induction functors",
      "restriction functors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.0211L"
    }
  }
}