{
  "id": "1808.04269",
  "version": "v1",
  "published": "2018-08-13T14:33:14.000Z",
  "updated": "2018-08-13T14:33:14.000Z",
  "title": "Fully commutative elements of the complex reflection groups",
  "authors": [
    "Gabriel Feinberg",
    "Sungsoon Kim",
    "Kyu-Hwan Lee",
    "Se-jin Oh"
  ],
  "categories": [
    "math.GR",
    "math.CO",
    "math.RT"
  ],
  "abstract": "We extend the usual notion of fully commutative elements from the Coxeter groups to the complex reflection groups. Then we decompose the sets of fully commutative elements into natural subsets according to their combinatorial properties, and investigate the structure of these decompositions. As a consequence, we enumerate and describe the form of these elements in the complex reflection groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-13T14:33:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex reflection groups",
      "fully commutative elements",
      "usual notion",
      "coxeter groups",
      "natural subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}