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Invariants of Colored Links and a Property of the Clebsch-Gordan Coefficients of $U_q(g)$ | Tetsuo Deguchi
; Tomotada Ohtsuki
; | Date: |
28 Jul 1992 | Subject: | High Energy Physics - Theory; Quantum Algebra | hep-th math.QA | Abstract: | 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. | Source: | arXiv, hep-th/9207090 | Services: | Forum | Review | PDF | Favorites |
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