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

preprint2015arXivOpen access

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}).

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