Deformations of metabelian representations of knot groups into SL(3,C).
Résumé
Let K be a knot in in the 3-sphere and X its complement. We study deformations of reducible metabelian representations of the fundamental g group of X into SL(3,C) which are associated to a double root of the Alexander polynomial of K. We prove that these reducible metabelian representations are smooth points of the representation variety and that they have irreducible non metabelian deformations.