{
  "id": "1607.07023",
  "version": "v1",
  "published": "2016-07-24T10:19:18.000Z",
  "updated": "2016-07-24T10:19:18.000Z",
  "title": "The BMR freeness conjecture for the tetrahedral and octahedral families",
  "authors": [
    "Eirini Chavli"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove the validity of the freeness conjecture of Brou\\'e, Malle and Rouquier for the generic Hecke algebras associated to the exceptional complex reflection groups of rank 2 belonging to the tetrahedral and octahedral families, and we give a description of the basis similar to the classical case of the finite Coxeter groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-24T10:19:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20C08"
    ],
    "keywords": [
      "bmr freeness conjecture",
      "octahedral families",
      "tetrahedral",
      "exceptional complex reflection groups",
      "generic hecke algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}