{
  "id": "2404.12834",
  "version": "v1",
  "published": "2024-04-19T12:16:57.000Z",
  "updated": "2024-04-19T12:16:57.000Z",
  "title": "A note on Combinatorial Invariance of Kazhdan--Lusztig polynomials",
  "authors": [
    "Francesco Esposito",
    "Mario Marietti"
  ],
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We introduce the concepts of an amazing hypercube decomposition and a double shortcut for it, and use these new ideas to formulate a conjecture implying the Combinatorial Invariance Conjecture of the Kazhdan--Lusztig polynomials for the symmetric group. This conjecture has the advantage of being combinatorial in nature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-19T12:16:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kazhdan-lusztig polynomials",
      "combinatorial invariance conjecture",
      "symmetric group",
      "amazing hypercube decomposition",
      "double shortcut"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}