{
  "id": "1802.07482",
  "version": "v1",
  "published": "2018-02-21T09:43:12.000Z",
  "updated": "2018-02-21T09:43:12.000Z",
  "title": "The BMR symmetrising trace conjecture for groups $G_4,\\,G_5,\\,G_6,\\,G_7,\\,G_8$",
  "authors": [
    "Christina Boura",
    "Eirini Chavli",
    "Maria Chlouveraki",
    "Konstantinos Karvounis"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove the BMR symmetrising trace conjecture for the exceptional complex reflection groups $G_4,\\,G_5,\\,G_6,\\,G_7,\\,G_8$ using a combination of algorithms programmed in different languages (C++, SAGE, GAP3, Mathematica). Our proof depends on the choice of a suitable basis for the generic Hecke algebra associated with each group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-21T09:43:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "20C40"
    ],
    "keywords": [
      "bmr symmetrising trace conjecture",
      "exceptional complex reflection groups",
      "generic hecke algebra",
      "algorithms",
      "mathematica"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}