As. Rapinchuk, ON AN APPROXIMATION PROPERTY FOR NONDISCRETE INEQUIVALENT REPRESENTATIONS OF FINITELY GENERATED GROUPS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(1), 1998, pp. 19-24
Let R(Gamma, G) be the variety of representations of a finitely genera
ted group Gamma in a simple complex algebraic group G. We establish so
me sufficient conditions for the image of the diagonal representation
rho = (rho(1),...,rho(t)), rho(i) is an element of R(Gamma, G'), to be
dense in G(t) in the complex topology (''weak approximation'').