{
  "id": "1604.00104",
  "version": "v1",
  "published": "2016-04-01T02:16:48.000Z",
  "updated": "2016-04-01T02:16:48.000Z",
  "title": "A bijective proof of the Cauchy identity for Grothendieck polynomials",
  "authors": [
    "Yasuhide Numata"
  ],
  "categories": [
    "math.CO",
    "math.KT"
  ],
  "abstract": "We consider pairs of a set-valued column-strict tableau and a reverse plane partition of the same shape. We introduce algortithms for them, which implies a bijective proof for the finite sum Cauchy identity for Grothendieck polynomials and dual Grothendieck polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-01T02:16:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bijective proof",
      "finite sum cauchy identity",
      "reverse plane partition",
      "dual grothendieck polynomials",
      "set-valued column-strict tableau"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160400104N"
    }
  }
}