{
  "id": "math/0206164",
  "version": "v1",
  "published": "2002-06-17T16:15:44.000Z",
  "updated": "2002-06-17T16:15:44.000Z",
  "title": "Two formulae for inverse Kazhdan-Lusztig polynomials in S_n",
  "authors": [
    "Gregory S. Warrington"
  ],
  "comment": "9 pages, 4 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let w_0 denote the permutation [n,n-1,...,2,1]. We give two new explicit formulae for the Kazhdan-Lusztig polynomials P_{w_0w,w_0x} in S_n when x is a maximal element in the singular locus of the Schubert variety X_w. To do this, we utilize a standard identity that relates P_{x,w} and P_{w_0w,w_0x}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-17T16:15:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E15",
      "20F55"
    ],
    "keywords": [
      "inverse kazhdan-lusztig polynomials",
      "standard identity",
      "schubert variety",
      "singular locus",
      "explicit formulae"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6164W"
    }
  }
}