{
  "id": "math/9905182",
  "version": "v1",
  "published": "1999-05-28T14:41:21.000Z",
  "updated": "1999-05-28T14:41:21.000Z",
  "title": "Actions and irreducible representations of the mapping class group",
  "authors": [
    "L. Paris"
  ],
  "comment": "14 pages, 1 figure, see http://math.u-bourgogne.fr/topolog/paris/index.htlm",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We prove in this paper that the action of the mapping class group on the complex of curves has noncommensurable stabilizers. Following a method due to Burger and de la Harpe, this action leads to constructions of irreducible unitary representations of the mapping class group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-05-28T14:41:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N05",
      "20F38",
      "22D10",
      "22D30"
    ],
    "keywords": [
      "mapping class group",
      "irreducible representations",
      "irreducible unitary representations",
      "noncommensurable stabilizers",
      "constructions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......5182P"
    }
  }
}