{
  "id": "1904.10334",
  "version": "v1",
  "published": "2019-04-23T13:56:23.000Z",
  "updated": "2019-04-23T13:56:23.000Z",
  "title": "Non-weight modules over the affine-Virasoro algebra of type $A_1$",
  "authors": [
    "Qiufan Chen",
    "Jianzhi Han"
  ],
  "comment": "14 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we study a class of non-weight modules over the affine-Virasoro algebra of type $A_1$, which are free modules of rank one when restricted to the Cartan subalgebra (modulo center). We give the classification of such modules. Moreover, the simplicity and the isomorphism classes of these modules are determined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-23T13:56:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine-virasoro algebra",
      "non-weight modules",
      "modulo center",
      "cartan subalgebra",
      "isomorphism classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}