{
  "id": "math/0612845",
  "version": "v2",
  "published": "2006-12-29T05:27:28.000Z",
  "updated": "2007-02-02T04:00:46.000Z",
  "title": "A combinatorial proof of a Weyl type formula for hook Schur polynomials",
  "authors": [
    "Jae-Hoon Kwon"
  ],
  "comment": "21 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "In this paper, we present a simple combinatorial proof of a Weyl type formula for hook Schur polynomials, which has been obtained by using a Kostant type cohomology formula for $\\frak{gl}_{m|n}$. In general, we can obtain in a combinatorial way a Weyl type formula for various highest weight representations of a Lie superalgebra, which together with a general linear algebra forms a Howe dual pair.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-02-02T04:00:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "weyl type formula",
      "hook schur polynomials",
      "kostant type cohomology formula",
      "general linear algebra forms",
      "howe dual pair"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12845K"
    }
  }
}