{
  "id": "1012.1149",
  "version": "v4",
  "published": "2010-12-06T12:31:32.000Z",
  "updated": "2012-09-09T01:18:57.000Z",
  "title": "Manin triples and differential operators on quantum groups",
  "authors": [
    "Toshiyuki Tanisaki"
  ],
  "comment": "34pages. arXiv admin note: text overlap with arXiv:0802.1590",
  "categories": [
    "math.RT",
    "math.QA",
    "math.SG"
  ],
  "abstract": "By taking the quasi-classical limit of the ring of differential operators on a quantized algebraic group at roots of 1 we obtain a certain Poisson manifold. We show that this Poisson structure coincides with the one introduced by Semenov-Tyan-Shansky geometrically in the framework of Manin triples.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-09-09T01:18:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05",
      "17B37",
      "53D17"
    ],
    "keywords": [
      "differential operators",
      "manin triples",
      "quantum groups",
      "poisson structure coincides",
      "quantized algebraic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.1149T"
    }
  }
}