  We study the general solution of the Yang-Baxter equation with deformed
$sl(2)$ symmetry. The universal R operator acting on tensor products of
arbitrary representations is obtained in spectral decomposition and in integral
forms. The results for eigenvalues, eigenfunctions and integral kernel appear
as deformations of the ones in the rational case. They provide a basis for the
construction of integrable quantum systems generalizing the XXZ spin models to
the case of arbitrary not necessarily finite-dimensional representations on the
sites.
