2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/207034We 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 $q^4=1$.7 pages, LATEX, no figuresCondensed MatterHigh Energy Physics - TheoryQuantum Algebratext