Invariants of Colored Links and a Property of the Clebsch-Gordan Coefficients of $U_q(g)$

Details Invariants of Colored Links and a Property of the Clebsch-Gordan Coefficients of $U_q(g)$ Invariants of Colored Links and a Property of the Clebsch-Gordan Coefficients of $U_q(g)$

1992-07-28

arxiv.org/abs/hep-th/9207090v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

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.

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