{
  "id": "1007.4305",
  "version": "v1",
  "published": "2010-07-25T08:13:55.000Z",
  "updated": "2010-07-25T08:13:55.000Z",
  "title": "Weyl denominator identity for the affine Lie superalgebra gl(2|2)^",
  "authors": [
    "Maria Gorelik"
  ],
  "comment": "12 pages",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove the Weyl denominator identity for the affine Lie superalgebra gl(2|2)^ conjectured by V. Kac and M. Wakimoto. As it was pointed out in their paper, this gives another proof of Jacobi identity for the number of presentations of a given integer as a sum of eight squares.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-25T08:13:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B65"
    ],
    "keywords": [
      "weyl denominator identity",
      "affine lie superalgebra",
      "jacobi identity",
      "presentations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.4305G"
    }
  }
}