[en] The pseudo-SU(3) model is an algebraic shell-model theory that takes full advantage of pseudo-spin symmetry in a proton-neutron formalism where the spin degree of freedom is explicitly taken into account. The usual Hamiltonian is extended to include the pairing interaction which couples states of different irreducible SU(3) representations. The effect of the pairing is investigated in full-space(untruncated) schematic calculations and its influence on the moments of inertia, B(E2) values, and quadrupole moments is illustrated. Finally, the pseudo-SU(3) model is applied to a systematic study of a number of light rare-earth nuclei, comparing calculated results to experimental data and other theories