  We apply real-space RG methods to study two quantum group invariant
Hamiltonians, that of the XXZ model and the Ising model in a transverse field
defined in an open chain with appropiate boundary terms. The quantum group
symmetry is preserved under the RG transformation except for the appearence of
a quantum group anomalous term which vanishes in the classical case. We obtain
correctly the line of critical XXZ models. In the ITF model the RG-flow
coincides with the tensor product decomposition of cyclic irreps. of $SU_q(2)$
with $q^4=1$.
