English

Irreducible representations of knot groups into SL(n,C)

Geometric Topology 2015-02-16 v1

Abstract

The aim of this article is to study the existence of certain reducible, metabelian representations of knot groups into SL(n,C)\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 SL(n,C)\mathrm{SL}(n,\mathbf{C}).

Keywords

Cite

@article{arxiv.1502.03999,
  title  = {Irreducible representations of knot groups into SL(n,C)},
  author = {Leila Ben Abdelghani and Michael Heusener},
  journal= {arXiv preprint arXiv:1502.03999},
  year   = {2015}
}