2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88073We study and classify almost all quantum SL(3,C)'s whose representation theory is ``similar'' to that of the (ordinary) group SL(3,C). Only one case, related to smooth elliptic curves, could not be treated completely.27 pages, LaTeX2e and AMS-LaTeX 1.2, no figures; minor rewriting and typos correctedQuantum Algebra16W30; 22E46text