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

### Abstract

International audienceThe 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 $\mathrm{SL}(n,\mathbf{C})$

Topics: variety of representations, knot group, Alexander module, MSC: 57M25; 57M05; 57M27, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]
Publisher: 'Universitat Autonoma de Barcelona'
Year: 2017
DOI identifier: 10.5565/PUBLMAT6121703
OAI identifier: oai:HAL:hal-01116451v1

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