2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152506We show that multivariable colored link invariants are derived from the roots of unity representations of $U_q(g)$. We propose a property of the Clebsch-Gordan coefficients of $U_q(g)$, which is important for defining the invariants of colored links. For $U_q(sl_2) we explicitly prove the property, and then construct invariants of colored links and colored ribbon graphs, which generalize the multivariable Alexander polynomial.4 pagesHigh Energy Physics - TheoryQuantum Algebratext