{
  "id": "math/0401052",
  "version": "v2",
  "published": "2004-01-06T19:51:59.000Z",
  "updated": "2004-01-14T21:26:51.000Z",
  "title": "Representations of braid groups via conjugation actions on congruence subgroups",
  "authors": [
    "Kevin P. Knudson"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AT",
    "math.GR",
    "math.RT"
  ],
  "abstract": "We construct two families of representations of the braid group $B_n$ by considering conjugation actions on congruence subgroups of $GL_{n-1}(Z[t^{\\pm 1},q^{\\pm 1}])$. We show that many of these representations are faithful modulo the center of $B_n$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-01-14T21:26:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "57M07"
    ],
    "keywords": [
      "congruence subgroups",
      "braid group",
      "representations",
      "considering conjugation actions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......1052K"
    }
  }
}