An Explicit and Simple Relationship Between Two Model Spaces

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An 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 figures

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