{
  "id": "1406.6739",
  "version": "v3",
  "published": "2014-06-26T00:23:35.000Z",
  "updated": "2015-11-10T07:51:09.000Z",
  "title": "Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras",
  "authors": [
    "Shun-Jen Cheng",
    "Jae-Hoon Kwon"
  ],
  "comment": "33 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We classify finite-dimensional tame modules over the ortho-symplectic Lie superalgebras. For these modules we show that their characters are given by the Kac-Wakimoto character formula, thus establishing the Kac-Wakimoto conjecture for the ortho-symplectic Lie superalgebras. We further relate the Kac-Wakimoto formula to the super Jacobi polynomials of Sergeev and Veselov, and show that these polynomials, up to a sign, give the super characters for these tame modules.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-16T06:14:21.000Z",
      "comment": "32 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-11-10T07:51:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "ortho-symplectic lie superalgebras",
      "kac-wakimoto character formula",
      "classify finite-dimensional tame modules",
      "super jacobi polynomials",
      "kac-wakimoto conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.6739C"
    }
  }
}