{
  "id": "1608.07908",
  "version": "v1",
  "published": "2016-08-29T04:02:55.000Z",
  "updated": "2016-08-29T04:02:55.000Z",
  "title": "A family of new simple modules over the Schrödinger-Virasoro algebra",
  "authors": [
    "Haibo Chen",
    "Yanyong Hong",
    "Yucai Su"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this article, a large class of simple modules over the Schr\\\"odinger-Virasoro algebra $\\mathcal{G}$ are constructed, which include highest weight modules and Whittaker modules. These modules are determined by the simple modules over the finite-dimensional quotient algebras of some subalgebras. Moreover, we show that all simple modules of $\\mathcal{G}$ with locally finite actions of elements in a certain positive part belong to this class of simple modules. Similarly, a large class of simple modules over the $W$-algebra $W(2,2)$ are constructed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-29T04:02:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple modules",
      "schrödinger-virasoro algebra",
      "large class",
      "highest weight modules",
      "finite-dimensional quotient algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}