{
  "id": "0704.2149",
  "version": "v1",
  "published": "2007-04-17T13:32:59.000Z",
  "updated": "2007-04-17T13:32:59.000Z",
  "title": "On action of the Virasoro algebra on the space of univalent functions",
  "authors": [
    "Helene Airault",
    "Yuri A. Neretin"
  ],
  "comment": "15p",
  "journal": "Bull. Sci. Math. 132, No. 1, 27-39 (2008)",
  "doi": "10.1016/j.bulsci.2007.05.001",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We obtain explicit expressions for differential operators defining the action of the Virasoro algebra on the space of univalent functions. We also obtain an explicit Taylor decomposition for Schwarzian derivative and a formula for the Grunsky coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-17T13:32:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C55",
      "32A50",
      "43A85",
      "81R10"
    ],
    "keywords": [
      "virasoro algebra",
      "univalent functions",
      "explicit taylor decomposition",
      "explicit expressions",
      "grunsky coefficients"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2149A"
    }
  }
}