{
  "id": "1309.1346",
  "version": "v1",
  "published": "2013-09-05T13:45:50.000Z",
  "updated": "2013-09-05T13:45:50.000Z",
  "title": "Classification of simple weight modules with finite-dimensional weight spaces over the Schrödinger algebra",
  "authors": [
    "Brendan Dubsky"
  ],
  "comment": "17 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We classify simple weight modules with finite-dimensional weight spaces over the (centrally extended complex) Schr\\\"odinger algebra in (1+1)-dimensional space-time. Our arguments use the description of lowest weight modules by Dobrev, Doebner and Mrugalla; Mathieu's twisting functors and results of Wu and Zhu on dimensions of weight spaces in dense modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-05T13:45:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B81"
    ],
    "keywords": [
      "finite-dimensional weight spaces",
      "schrödinger algebra",
      "classification",
      "classify simple weight modules",
      "lowest weight modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.1346D"
    }
  }
}