{
  "id": "1710.04566",
  "version": "v1",
  "published": "2017-10-12T15:31:05.000Z",
  "updated": "2017-10-12T15:31:05.000Z",
  "title": "Combinatorial formulas for Kazhdan-Lusztig polynomials with respect to W-graph ideals",
  "authors": [
    "Qi Wang"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In [12] Yin generalized the definition of W-graph ideal $E_J$ in the weighted Coxeter groups and introduced the weighted Kazhdan-Lusztig polynomials $ \\left \\{ P_{x,y} \\right \\}_{x,y\\in E_J}$, where J is a subset of S. In this paper, we study the combinatorial formulas for those polynomials, which extend the results of Deodhar [11] and Tagawa [6].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-12T15:31:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "w-graph ideal",
      "combinatorial formulas",
      "weighted coxeter groups",
      "weighted kazhdan-lusztig polynomials",
      "definition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}