{
  "id": "1712.03717",
  "version": "v1",
  "published": "2017-12-11T11:05:34.000Z",
  "updated": "2017-12-11T11:05:34.000Z",
  "title": "A simple characterization of special matchings in lower Bruhat intervals",
  "authors": [
    "Fabrizio Caselli",
    "Mario Marietti"
  ],
  "comment": "accepted for publication on Discrete Mathematics",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We give a simple characterization of special matchings in lower Bruhat intervals (that is, intervals starting from the identity element) of a Coxeter group. As a byproduct, we obtain some results on the action of special matchings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-11T11:05:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E99",
      "20F55"
    ],
    "keywords": [
      "lower bruhat intervals",
      "special matchings",
      "simple characterization",
      "identity element",
      "coxeter group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}