{
  "id": "2311.10659",
  "version": "v1",
  "published": "2023-11-17T17:25:20.000Z",
  "updated": "2023-11-17T17:25:20.000Z",
  "title": "Bender-Knuth involutions for types B and C",
  "authors": [
    "Álvaro Gutiérrez"
  ],
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We show that the combinatorial definitions of King and Sundaram of the symmetric polynomials of types B and C are indeed symmetric, in the sense that they are invariant by the action of the Weyl groups. Our proof is combinatorial and inspired by Bender and Knuth's classic involutions for type A.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-17T17:25:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bender-knuth involutions",
      "knuths classic involutions",
      "weyl groups",
      "symmetric polynomials",
      "combinatorial definitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}