2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73202We show the set of faithful representations of a closed orientable hyperbolic surface group is dense in both irreducible components of the PSL(2,K) representation variety, where K is the field of real or complex numbers, answering a question of W. Goldman. We also prove the existence of faithful representations into PU(2,1) with certain nonintegral Toledo invariants.10 pages, 1 figureGeometric TopologyDifferential Geometrytext