{
  "id": "1011.3438",
  "version": "v5",
  "published": "2010-11-15T16:32:42.000Z",
  "updated": "2013-08-29T07:30:58.000Z",
  "title": "Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra",
  "authors": [
    "Dong Liu"
  ],
  "comment": "Latex, 22 pages. arXiv admin note: text overlap with arXiv:math/0510194 by other authors",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP",
    "math.QA",
    "math.RA"
  ],
  "abstract": "In this paper, we provide a uniform method to thoroughly classify all Harish-Chandra modules over some Lie algebras related to the Virasoro algebras. We first classify such modules over the Lie algebra $W(\\varrho)[s]$ for $s=0,\\frac12$. With this result and method, we can also do such works for some Lie algebras and superconformal algebras related to the Virasoro algebra, including the several kinds of Schr\\\"{o}dinger-Virasoro Lie algebras, which are open up to now.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-08-29T07:30:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B65",
      "17B68",
      "17B70"
    ],
    "keywords": [
      "lie algebras",
      "virasoro algebra",
      "harish-chandra modules",
      "classification",
      "uniform method"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 877757,
      "adsabs": "2010arXiv1011.3438L"
    }
  }
}