{
  "id": "1409.4074",
  "version": "v1",
  "published": "2014-09-14T16:53:05.000Z",
  "updated": "2014-09-14T16:53:05.000Z",
  "title": "Bowling ball representations of braid groups",
  "authors": [
    "Stephen Bigelow"
  ],
  "comment": "8 pages, 0 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In a remark in his seminal 1987 paper, Jones describes a way to define the Burau matrix of a positive braid using a metaphor of bowling a ball down a bowling alley with braided lanes. We extend this definition to allow multiple bowling balls to be bowled simultaneously. We obtain the Iwahori-Hecke algebra and a cabled version of the Temperley-Lieb representation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-14T16:53:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "57M25",
      "14J26"
    ],
    "keywords": [
      "bowling ball representations",
      "braid groups",
      "burau matrix",
      "multiple bowling balls",
      "iwahori-hecke algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.4074B"
    }
  }
}