{
  "id": "math/0511524",
  "version": "v1",
  "published": "2005-11-21T16:03:50.000Z",
  "updated": "2005-11-21T16:03:50.000Z",
  "title": "Classification of Quasifinite Modules over Lie Algebras of Matrix Differential Operators on the Circle",
  "authors": [
    "Yucai Su"
  ],
  "comment": "LaTeX, 10 pages",
  "journal": "Proc. Amer. Math. Soc., 133 (2005), 1949-1957",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We prove that an irreducible quasifinite module over the central extension of the Lie algebra of $N\\times N$-matrix differential operators on the circle is either a highest or lowest weight module or else a module of the intermediate series. Furthermore, we give a complete classification of indecomposable uniformly bounded modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-21T16:03:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B65",
      "17B66",
      "17B68"
    ],
    "keywords": [
      "matrix differential operators",
      "lie algebra",
      "lowest weight module",
      "central extension",
      "irreducible quasifinite module"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11524S"
    }
  }
}