  We construct new families of U_q(gl_n)-modules by continuation from finite
dimensional representations. Each such module is associated with a
combinatorial object - admissible set of relations defined in \cite{FRZ}. More
precisely, we prove that any admissible set of relations leads to a family of
irreducible U_q(gl_n)-modules. Finite dimensional and generic modules are
particular cases of this construction.
