{
  "id": "math/0510194",
  "version": "v1",
  "published": "2005-10-10T14:58:38.000Z",
  "updated": "2005-10-10T14:58:38.000Z",
  "title": "Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra",
  "authors": [
    "Rencai Lu",
    "Kaiming Zhao"
  ],
  "comment": "23 pages",
  "journal": "Communications in Contemporary Mathematics, Vol.12, No.2, 183-205(2010)",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, all irreducible weight modules with finite dimensional weight spaces over the twisted Heisenberg-Virasoro algebra are determined. There are two different classes of them. One class is formed by simple modules of intermediate series, whose weight spaces are all 1-dimensional; the other class consists of the irreducible highest weight modules and lowest weight modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-10T14:58:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B65",
      "17B68"
    ],
    "keywords": [
      "twisted heisenberg-virasoro algebra",
      "irreducible weight modules",
      "classification",
      "finite dimensional weight spaces",
      "irreducible highest weight modules"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10194L"
    }
  }
}