{
  "id": "1310.3798",
  "version": "v1",
  "published": "2013-10-14T19:23:09.000Z",
  "updated": "2013-10-14T19:23:09.000Z",
  "title": "Kac-Wakimoto character formula for the general linear Lie superalgebra",
  "authors": [
    "Michael Chmutov",
    "Crystal Hoyt",
    "Shifra Reif"
  ],
  "categories": [
    "math.RT",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "Character formulas for Lie superalgebras have been shown to have important applications to number theory and combinatorics. We prove the Kac-Wakimoto character formula for the general linear Lie superalgebra gl(m|n). This formula specializes to the well-known Kac-Weyl character formula when the modules are typical and to the Weyl denominator identity when the module is trivial. We also prove a determinantal character formula for KW-modules using the Kac-Wakimoto character formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-14T19:23:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general linear lie superalgebra",
      "kac-wakimoto character formula",
      "well-known kac-weyl character formula",
      "determinantal character formula",
      "weyl denominator identity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.3798C"
    }
  }
}