{
  "id": "math/9712207",
  "version": "v1",
  "published": "1997-11-29T23:29:37.000Z",
  "updated": "1997-11-29T23:29:37.000Z",
  "title": "Another proof of the alternating sign matrix conjecture",
  "authors": [
    "Greg Kuperberg"
  ],
  "comment": "10 pages",
  "journal": "Internat. Math. Res. Notices, 1996(3):139-150, 1996",
  "categories": [
    "math.CO"
  ],
  "abstract": "Robbins conjectured, and Zeilberger recently proved, that there are 1!4!7!...(3n-2)!/n!/(n+1)!/.../(2n-1)! alternating sign matrices of order n. We give a new proof of this result using an analysis of the six-vertex state model (also called square ice) based on the Yang-Baxter equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-11-29T23:29:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "alternating sign matrix conjecture",
      "six-vertex state model",
      "alternating sign matrices",
      "square ice",
      "yang-baxter equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997math.....12207K"
    }
  }
}