{
  "id": "math/9807142",
  "version": "v1",
  "published": "1998-07-25T19:00:58.000Z",
  "updated": "1998-07-25T19:00:58.000Z",
  "title": "Infinite dimensional geometry of $M_1=Diff_+(S^1)/PSL(2,R)$ and $q_R$-conformal symmetries. II. Geometric quantization and hidden symmetries of Verma modules over Virasoro algebra",
  "authors": [
    "Denis V. Juriev"
  ],
  "comment": "15 pp, AMSTEX: 1st part - math.RT/9806140",
  "categories": [
    "math.RT",
    "math.DG",
    "math.QA"
  ],
  "abstract": "Some natural hidden symmetries in the Verma modules over the Virasoro algebra are constructed in terms of geometric quantization. Their differential geometric meaning is established and their expression via $q_R$-conformal symmetries in the Verma modules over the Lie algebra $sl(2,C)$ is found. The analysis and the unraveling of the algebraic structure of these families of hidden symmetries are performed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-07-25T19:00:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "verma modules",
      "infinite dimensional geometry",
      "geometric quantization",
      "virasoro algebra",
      "conformal symmetries"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......7142J"
    }
  }
}