{
  "id": "1610.04206",
  "version": "v1",
  "published": "2016-10-13T19:18:31.000Z",
  "updated": "2016-10-13T19:18:31.000Z",
  "title": "Enumerating quasi-Yamanouchi tableaux of Durfee size two",
  "authors": [
    "George Wang"
  ],
  "comment": "11 pages, 15 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "Quasi-Yamanouchi tableaux are a refinement of standard Young tableaux that can be used in the expansion of Schur polynomials. We prove a product formula for enumerating certain quasi-Yamanouchi tableaux, and provide strong evidence that no product formula exists in general for other shapes. Along the way, we also prove properties of symmetry and structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-13T19:18:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05E05"
    ],
    "keywords": [
      "enumerating quasi-yamanouchi tableaux",
      "durfee size",
      "product formula",
      "standard young tableaux",
      "strong evidence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}