{
  "id": "1910.08961",
  "version": "v1",
  "published": "2019-10-20T12:26:41.000Z",
  "updated": "2019-10-20T12:26:41.000Z",
  "title": "On non-weight representations of the untwisted $N=2$ superconformal algebras",
  "authors": [
    "Hengyun Yang",
    "Yufeng Yao",
    "Limeng Xia"
  ],
  "comment": "18 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we construct a family of non-weight modules over the untwisted $N=2$ superconformal algebras. Those modules when regarded as modules over the Cartan subalgebra are free of rank $2$. We give a classification of isomorphism classes of such modules. Moreover, all submodules of such modules are precisely determined. In particular, those modules we construct are not simple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-20T12:26:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B65",
      "17B66",
      "17B68"
    ],
    "keywords": [
      "superconformal algebras",
      "non-weight representations",
      "isomorphism classes",
      "non-weight modules",
      "cartan subalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}