Invariants of Colored Links and a Property of the Clebsch-Gordan   Coefficients of $U_q(g)$
  We 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. 
Tetsuo Deguchi and Tomotada Ohtsuki