{
  "id": "math-ph/0312071",
  "version": "v1",
  "published": "2003-12-29T09:31:05.000Z",
  "updated": "2003-12-29T09:31:05.000Z",
  "title": "On refined enumerations of some symmetry classes of ASMs",
  "authors": [
    "A. V. Razumov",
    "Yu. G. Stroganov"
  ],
  "comment": "24 pages, LaTeX2e, PSTricks package",
  "journal": "Theor.Math.Phys.141:1609-1630,2004; Teor.Mat.Fiz.141:323-347,2004",
  "doi": "10.1023/B:TAMP.0000049757.07267.9d",
  "categories": [
    "math-ph",
    "hep-th",
    "math.CO",
    "math.MP"
  ],
  "abstract": "Using determinant representations for partition functions of the corresponding square ice models and the method proposed recently by one of the authors, we investigate refined enumerations of vertically symmetric alternating-sign matrices, off-diagonally symmetric alternating-sign matrices and alternating-sign matrices with U-turn boundary. For all these cases the explicit formulas for refined enumerations are found. It particular, Kutin-Yuen conjecture is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-29T09:31:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "refined enumerations",
      "symmetry classes",
      "corresponding square ice models",
      "vertically symmetric alternating-sign matrices",
      "off-diagonally symmetric alternating-sign matrices"
    ],
    "tags": [
      "research tool",
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 636533
    }
  }
}