{
  "id": "1905.08452",
  "version": "v1",
  "published": "2019-05-21T06:03:22.000Z",
  "updated": "2019-05-21T06:03:22.000Z",
  "title": "Two Dimensional Representations of the Braid Group B_3 and its Burau Representation Squared",
  "authors": [
    "Mehmet Kırdar",
    "Aslı Yavaş"
  ],
  "comment": "5 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We classify the irreducible two dimensional complex representations of the Braid group B_3 in elementary way and make some observations related to its Burau representation. Essentially, we will make a decomposition of the square of its irreducible Burau representation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-21T06:03:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20C99"
    ],
    "keywords": [
      "braid group",
      "dimensional representations",
      "dimensional complex representations",
      "irreducible burau representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}