  Given a finite volume hyperbolic 3-manifold, we compose a lift of the
holonomy in SL(2,C) with the n-dimensional irreducible representation of
SL(2,C) in SL(n,C). In this paper we give local coordinates of the
SL(n,C)-character variety around this representation. As a corollary, this
representation is isolated among all representations that are unipotent at the
cusps.
