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arxiv: 1502.03999 · v1 · pith:RJZ5IBPDnew · submitted 2015-02-13 · 🧮 math.GT

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

classification 🧮 math.GT
keywords representationsgroupsknotexistenceirreduciblemathbfmathrmarticle
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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 $\mathrm{SL}(n,\mathbf{C})$.

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