{
  "id": "math/0509252",
  "version": "v2",
  "published": "2005-09-12T11:44:55.000Z",
  "updated": "2007-12-03T19:18:37.000Z",
  "title": "q-Schur algebras and complex reflection groups, I",
  "authors": [
    "Raphael Rouquier"
  ],
  "comment": "Corrected version, 5.2.3 and 5.2.4 are new",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We show that the category O for a rational Cherednik algebra of type A is equivalent to modules over a q-Schur algebra (parameter not a half integer), providing thus character formulas for simple modules. We give some generalization to B_n(d). We prove an ``abstract'' translation principle. These results follow from the unicity of certain highest categories covering Hecke algebras. We also provide a semi-simplicity criterion for Hecke algebras of complex reflection groups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-12-03T19:18:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex reflection groups",
      "q-schur algebra",
      "highest categories covering hecke algebras",
      "rational cherednik algebra",
      "semi-simplicity criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9252R"
    }
  }
}