{
  "id": "2009.09479",
  "version": "v1",
  "published": "2020-09-20T17:29:06.000Z",
  "updated": "2020-09-20T17:29:06.000Z",
  "title": "Classification Of Level Zero Irreducible Integrable Modules For Twisted Full Toroidal Lie Algebras",
  "authors": [
    "Souvik Pal",
    "S. Eswara Rao"
  ],
  "comment": "27 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we first construct the twisted full toroidal Lie algebra by an extension of a centreless Lie torus $LT$ which is a multiloop algebra twisted by several automorphisms of finite order and equipped with a particular grading. We then provide a complete classification of all the irreducible integrable modules with finite dimensional weight spaces for this twisted full toroidal Lie algebra having a non-trivial $LT$-action and where the centre of the underlying Lie algebra acts trivially.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-20T17:29:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "twisted full toroidal lie algebra",
      "level zero irreducible integrable modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}