{
  "id": "2304.02304",
  "version": "v1",
  "published": "2023-04-05T08:53:38.000Z",
  "updated": "2023-04-05T08:53:38.000Z",
  "title": "Irreducible representations of the braid group $B_3$ in dimension 6",
  "authors": [
    "Taher I. Mayassi",
    "Mohammad N. Abdulrahim"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We use $q$-Pascal's triangle to define a family of representations of dimension 6 of the braid group $B_3$ on three strings. Then we give a necessary and sufficient condition for these representations to be irreducible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-05T08:53:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36"
    ],
    "keywords": [
      "braid group",
      "irreducible representations",
      "sufficient condition",
      "pascals triangle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}