{
  "id": "1010.3961",
  "version": "v1",
  "published": "2010-10-19T15:46:16.000Z",
  "updated": "2010-10-19T15:46:16.000Z",
  "title": "Equivalence classes for the mu-coefficient of Kazhdan-Lusztig polynomials in S_n",
  "authors": [
    "Gregory S. Warrington"
  ],
  "comment": "13 pages, 6 figures",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We study equivalence classes relating to the Kazhdan-Lusztig mu(x,w) coefficients in order to help explain the scarcity of distinct values. Each class is conjectured to contain a \"crosshatch\" pair. We also compute the values attained by mu(x,w) for the permutation groups S_10 and S_11.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-19T15:46:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "20F55"
    ],
    "keywords": [
      "kazhdan-lusztig polynomials",
      "mu-coefficient",
      "kazhdan-lusztig mu",
      "permutation groups",
      "help explain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.3961W"
    }
  }
}