{
  "id": "1407.6375",
  "version": "v1",
  "published": "2014-07-23T20:08:04.000Z",
  "updated": "2014-07-23T20:08:04.000Z",
  "title": "Finite dimensional quotients of Hecke algebras",
  "authors": [
    "Ivan Losev"
  ],
  "comment": "8 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let W be a complex reflection group. We prove that there is the maximal finite dimensional quotient of the Hecke algebra H_q(W) of W and that the dimension of this quotient coincides with |W|. This is a weak version of a Brou\\'e-Malle-Rouquier conjecture from 1998. The proof is based on categories O for Rational Cherednik algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-23T20:08:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "20F55",
      "16G99"
    ],
    "keywords": [
      "hecke algebra",
      "maximal finite dimensional quotient",
      "rational cherednik algebras",
      "complex reflection group",
      "quotient coincides"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.6375L"
    }
  }
}