{
  "id": "1903.06882",
  "version": "v1",
  "published": "2019-03-16T05:29:30.000Z",
  "updated": "2019-03-16T05:29:30.000Z",
  "title": "Classification of irreducible modules over gap-$p$ Virasoro algebras",
  "authors": [
    "Chengkang Xu"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that any irreducible Harish-Chandra modules for a class of Lie algebras, which we call gap-$p$ Virasoro algebras, must be a highest weight module, a lowest weight module, or a module of intermediate series.These algebras are closely related to the Heisenberg-Virasoro algebra and the algebra of derivations over a quantum torus. They also contain subalgebras which are isomorphic to the Virasoro algebra $Vir$, but graded by $p\\mathbb Z$(unlike $Vir$ by $\\mathbb Z$).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-16T05:29:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irreducible modules",
      "classification",
      "highest weight module",
      "lowest weight module",
      "intermediate series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}