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

Leila Ben Abdelghani; Michael Heusener

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arXiv · 1502.03999

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

Leila Ben Abdelghani·Michael Heusener

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

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BibTeX RIS

Leila Ben Abdelghani, Michael Heusener. 2015-02-13. Irreducible representations of knot groups into SL(n,C). https://arxiv.org/abs/1502.03999

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