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arXiv · hep-th/9206057

Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs

Tetsuo Deguchi·Yasuhiro Akutsu
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Abstract

We present formulas for the Clebsch-Gordan coefficients and the Racah coefficients for the root of unity representations ($N$-dimensional representations with $q^{2N}=1$) of $U_q(sl(2))$. We discuss colored vertex models and colored IRF (Interaction Round a Face) models from the color representations of $U_q(sl(2))$. We construct invariants of trivalent colored oriented framed graphs from color representations of $U_q(sl(2))$.

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Tetsuo Deguchi, Yasuhiro Akutsu. 1992-06-13. Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs. https://doi.org/10.1143/jpsj.62.19

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