{
  "id": "0801.2601",
  "version": "v2",
  "published": "2008-01-17T03:18:48.000Z",
  "updated": "2008-01-18T01:51:02.000Z",
  "title": "Classification of Harish-Chandra modules over the $W$-algebra W(2,2)",
  "authors": [
    "Dong Liu",
    "Linsheng Zhu"
  ],
  "comment": "Latex, 20 pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "In this paper, we classify all irreducible weight modules with finite dimensional weight spaces over the $W$-algebra $W(2, 2)$. Meanwhile, all indecomposable modules with one dimensional weight spaces over the $W$-algebra $W(2, 2)$ are also determined.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-18T01:51:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B65",
      "17B68"
    ],
    "keywords": [
      "harish-chandra modules",
      "classification",
      "finite dimensional weight spaces",
      "irreducible weight modules"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.2601L"
    }
  }
}