{
  "id": "0904.1045",
  "version": "v1",
  "published": "2009-04-07T02:51:01.000Z",
  "updated": "2009-04-07T02:51:01.000Z",
  "title": "A Class of Irreducible Modules for the Extended Affine Lie Algebra $\\widetilde{\\frak{gl}_l({\\mathbb{C}_q})}$",
  "authors": [
    "Ziting Zeng"
  ],
  "comment": "19pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We construct a class of modules for extended affine Lie algebra $\\widetilde{\\frak{gl}_l({\\bc_q})}$ by using the free fields. A necessary and sufficient condition is given for those modules being irreducible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-07T02:51:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "extended affine lie algebra",
      "irreducible modules",
      "free fields",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}