{
  "id": "1503.02814",
  "version": "v1",
  "published": "2015-03-10T08:47:53.000Z",
  "updated": "2015-03-10T08:47:53.000Z",
  "title": "Solutions of the Yang-Baxter equation associated with a left brace",
  "authors": [
    "David Bachiller",
    "Ferran Cedo",
    "Eric Jespers"
  ],
  "comment": "18 pages",
  "categories": [
    "math.GR",
    "math.QA"
  ],
  "abstract": "Given a left brace $G$, a method to construct all the involutive, non-degenerate set-theoretic solutions $(Y,s)$ of the YBE, such that $\\mathcal{G}(Y,s)\\cong G$ is given. This method depends entirely on the brace structure of $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-10T08:47:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16T25",
      "20B30",
      "81R50"
    ],
    "keywords": [
      "yang-baxter equation",
      "left brace",
      "non-degenerate set-theoretic solutions",
      "method depends",
      "brace structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}