{
  "id": "1501.03561",
  "version": "v1",
  "published": "2015-01-15T03:21:20.000Z",
  "updated": "2015-01-15T03:21:20.000Z",
  "title": "Tokuyama's Identity for Factorial Schur Functions",
  "authors": [
    "Angèle M. Hamel",
    "Ronald C. King"
  ],
  "comment": "30 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A recent paper of Bump, McNamara and Nakasuji introduced a factorial version of Tokuyama's identity, expressing the partition function of a six vertex model as the product of a t-deformed Vandermonde and a Schur function. Here we provide an extension of their result by exploiting the language of primed shifted tableaux, with its proof based on the use of non-intersecting lattice paths.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-15T03:21:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "factorial schur functions",
      "tokuyamas identity",
      "vertex model",
      "factorial version",
      "non-intersecting lattice paths"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150103561H"
    }
  }
}