{
  "id": "2010.03417",
  "version": "v1",
  "published": "2020-10-07T13:55:44.000Z",
  "updated": "2020-10-07T13:55:44.000Z",
  "title": "Poincaré polynomial for fully commutative elements in the symmetric group",
  "authors": [
    "Sadek AL Harbat",
    "Corinne Blondel"
  ],
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "Let $W^c(A_n)$ be the set of fully commutative elements of the Coxeter group $W(A_n)$. Let $$ a_n(q)= \\sum_{w \\in W^c(A_n)} q^{l(w)} . $$ We compute $a_n(q)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-07T13:55:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05Axx",
      "20F55"
    ],
    "keywords": [
      "fully commutative elements",
      "symmetric group",
      "polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}