{
  "id": "0905.3649",
  "version": "v1",
  "published": "2009-05-22T09:50:10.000Z",
  "updated": "2009-05-22T09:50:10.000Z",
  "title": "Involutory reflection groups and their models",
  "authors": [
    "Fabrizio Caselli"
  ],
  "comment": "24 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "A finite subgroup of $GL(n,\\mathbb C)$ is involutory if the sum of the dimensions of its irreducible complex representations is given by the number of absolute involutions in the group. A uniform combinatorial model is constructed for all non-exceptional irreducible complex reflection groups which are involutory including, in particular, all infinite families of finite irreducible Coxeter groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-22T09:50:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E15"
    ],
    "keywords": [
      "involutory reflection groups",
      "non-exceptional irreducible complex reflection groups",
      "uniform combinatorial model",
      "finite irreducible coxeter groups",
      "absolute involutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.3649C"
    }
  }
}