2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54596An explicit and simple correspondence, between the basis of the model space of $SU(3)$ on one hand and that of $SU(2)\otimes SU(2)$ or $SO(1,3)$ on the other, is exhibited for the first time. This is done by considering the generating functions for the basis vectors of these model spaces.RevTex 3.0, 21 pages, no figuresHigh Energy Physics - TheoryAn Explicit and Simple Relationship Between Two Model Spacestext