{
  "id": "1807.02369",
  "version": "v1",
  "published": "2018-07-06T12:05:07.000Z",
  "updated": "2018-07-06T12:05:07.000Z",
  "title": "The combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials of lower intervals",
  "authors": [
    "Mario Marietti"
  ],
  "comment": "to appear in Advances in Mathematics",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "The aim of this work is to prove a conjecture related to the Combinatorial Invariance Conjecture of Kazhdan-Lusztig polynomials, in the parabolic setting, for lower intervals in every arbitrary Coxeter group. This result improves and generalizes, among other results, the main results of [Advances in Math. {202} (2006), 555-601], [Trans. Amer. Math. Soc. {368} (2016), no. 7, 5247--5269].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-06T12:05:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "05E99"
    ],
    "keywords": [
      "combinatorial invariance conjecture",
      "parabolic kazhdan-lusztig polynomials",
      "lower intervals",
      "arbitrary coxeter group",
      "main results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}