{
  "id": "0912.4827",
  "version": "v3",
  "published": "2009-12-24T10:56:37.000Z",
  "updated": "2011-01-23T07:37:26.000Z",
  "title": "Garside groups and Yang-Baxter equation",
  "authors": [
    "Fabienne Chouraqui"
  ],
  "comment": "This is the last version of the paper, as it appears in Communications in Algebra, Volume 38 Issue 12, December 2010",
  "journal": "Communications in Algebra, Volume 38 n.12 (December2010)",
  "doi": "10.1080/00927870903386502",
  "categories": [
    "math.GR",
    "math.RA"
  ],
  "abstract": "We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive and braided set-theoretical solutions of the quantum Yang-Baxter equation. We also characterize indecomposable solutions in terms of $\\Delta$-pure Garside groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-01-23T07:37:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum yang-baxter equation",
      "pure garside groups",
      "structure groups",
      "one-to-one correspondence",
      "braided set-theoretical solutions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.4827C"
    }
  }
}