{
  "id": "1502.03999",
  "version": "v1",
  "published": "2015-02-13T14:23:26.000Z",
  "updated": "2015-02-13T14:23:26.000Z",
  "title": "Irreducible representations of knot groups into SL(n,C)",
  "authors": [
    "Leila Ben Abdelghani",
    "Michael Heusener"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "The aim of this article is to study the existence of certain reducible, metabelian representations of knot groups into $\\mathrm{SL}(n,\\mathbf{C})$ which generalise the representations studied previously by G.~Burde and G.~de Rham. Under specific hypotheses we prove the existence of irreducible deformations of such representations of knot groups into $\\mathrm{SL}(n,\\mathbf{C})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-13T14:23:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "knot groups",
      "irreducible representations",
      "specific hypotheses",
      "metabelian representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}