{
  "id": "1905.07692",
  "version": "v1",
  "published": "2019-05-19T06:52:39.000Z",
  "updated": "2019-05-19T06:52:39.000Z",
  "title": "Grothendieck polynomials and the Boson-Fermion correspondence",
  "authors": [
    "Shinsuke Iwao"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CO",
    "math.KT"
  ],
  "abstract": "We present a new characterization of the Grothendieck polynomial and its dual by using the Boson-Fermion correspondence. As an application, we give a new alternative proof of some fundamental theorems about the Grothendieck polynomials such as determinantal formulas and Pieri type formulas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-19T06:52:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05A10"
    ],
    "keywords": [
      "grothendieck polynomial",
      "boson-fermion correspondence",
      "pieri type formulas",
      "determinantal formulas",
      "fundamental theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}