{
  "id": "0811.4064",
  "version": "v2",
  "published": "2008-11-25T11:51:00.000Z",
  "updated": "2008-11-26T13:41:20.000Z",
  "title": "\"Set-theoretical\" solutions of the quantum Yang-Baxter equation and a class of Garside groups",
  "authors": [
    "Fabienne Chouraqui"
  ],
  "categories": [
    "math.GR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We establish a one-to-one correspondence between structure groups of non-degenerate, involutive and braided \"set-theoretical\" solutions of the quantum Yang-Baxter equation and Garside groups with a certain presentation. Moreover, we show that the solution is indecomposable if and only if its structure group is a $\\Delta-$pure Garside group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-26T13:41:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum yang-baxter equation",
      "structure group",
      "set-theoretical",
      "pure garside group",
      "one-to-one correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.4064C"
    }
  }
}