{
  "id": "1201.3112",
  "version": "v1",
  "published": "2012-01-15T18:06:40.000Z",
  "updated": "2012-01-15T18:06:40.000Z",
  "title": "Some Representations of Nongraded Divergence-Free Lie Algebras",
  "authors": [
    "Ling Chen"
  ],
  "comment": "39 pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "Divergence-free Lie algebras are originated from the Lie algebras of volume-preserving transformation groups. Xu constructed a certain nongraded generalization, which may not contain any toral Cartan subalgebra. In this paper, we give a complete classification of the generalized weight modules over these algebras with weight multiplicities less than or equal to one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-15T18:06:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B65"
    ],
    "keywords": [
      "nongraded divergence-free lie algebras",
      "representations",
      "toral cartan subalgebra",
      "weight multiplicities",
      "complete classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.3112C"
    }
  }
}