{
  "id": "1303.6973",
  "version": "v3",
  "published": "2013-03-27T20:28:30.000Z",
  "updated": "2015-02-22T23:10:21.000Z",
  "title": "Realizations of the three point algebra $\\mathfrak{sl}(2, \\mathcal R) \\oplus\\left(Ω_{\\mathcal R}/d{\\mathcal R}\\right)$",
  "authors": [
    "Ben L. Cox",
    "Elizabeth G. Jurisich"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:0902.1273. This version has a correction to a scalar in Cor 2.3. The representations of the algebra are unaffected",
  "journal": "Pacific Journal of Mathematics vol. 270, No. 1, 2014",
  "doi": "10.2140/pjm.2014.270.27",
  "categories": [
    "math.RT"
  ],
  "abstract": "We describe the universal central extension of the three point current algebra $\\mathfrak{sl}(2,\\mathcal R)$ where $\\mathcal R=\\mathbb C[t,t^{-1},u\\,|\\,u^2=t^2+4t ]$ and construct realizations of it in terms of sums of partial differential operators.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-26T00:49:26.000Z",
      "comment": "arXiv admin note: text overlap with arXiv:0902.1273",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-02-22T23:10:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "81R10"
    ],
    "keywords": [
      "point algebra",
      "universal central extension",
      "point current algebra",
      "partial differential operators",
      "construct realizations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.6973C"
    }
  }
}