{
  "id": "0801.1229",
  "version": "v2",
  "published": "2008-01-08T13:43:13.000Z",
  "updated": "2008-05-07T09:34:05.000Z",
  "title": "An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices",
  "authors": [
    "Hjalmar Rosengren"
  ],
  "comment": "22 pages. Essential changes in Section 8, explaining relation to three-colour model",
  "journal": "Adv. Appl. Math. 43 (2009), 137-155",
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We obtain a new expression for the partition function of the 8VSOS model with domain wall boundary conditions, which we consider to be the natural extension of the Izergin-Korepin formula for the six-vertex model. As applications, we find dynamical (in the sense of the dynamical Yang-Baxter equation) generalizations of the enumeration and 2-enumeration of alternating sign matrices. The dynamical enumeration has a nice interpretation in terms of three-colourings of the square lattice.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-05-07T09:34:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "82B20",
      "82B23"
    ],
    "keywords": [
      "alternating sign matrices",
      "8vsos model",
      "izergin-korepin-type identity",
      "applications",
      "domain wall boundary conditions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.1229R"
    }
  }
}