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

Leila Ben Abdelghani (1) , Michael Heusener (2)

1 Département de Mathématiques [Monastir]
2 LMBP - Laboratoire de Mathématiques Blaise Pascal

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

Mots clés: variety of representations; Alexander module; knot group

Domaines: Topologie géométrique [math.GT]

Leila Ben Abdelghani, Michael Heusener. Irreducible representations of knot groups into SL(n,C). Publicacions Matemàtiques, 2017, ⟨10.5565/PUBLMAT6121703⟩. ⟨hal-01116451⟩