{
  "id": "2312.01417",
  "version": "v1",
  "published": "2023-12-03T14:41:43.000Z",
  "updated": "2023-12-03T14:41:43.000Z",
  "title": "Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes",
  "authors": [
    "Ekaterina Presnova",
    "Evgeny Smirnov"
  ],
  "comment": "21 pages, color pictures",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We give a new combinatorial description for stable Grothendieck polynomials in terms of subdivisions of Gelfand-Zetlin polytopes. Moreover, these subdivisions also provide a description of Lascoux polynomials. This generalizes a similar result on key polynomials by Kiritchenko, Smirnov, and Timorin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-03T14:41:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "14N10",
      "22E47"
    ],
    "keywords": [
      "gelfand-zetlin polytopes",
      "lascoux polynomials",
      "subdivisions",
      "similar result",
      "combinatorial description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}