Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs
Copyright policy )Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs
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 $U_q(sl(2))$.
39 pages, January 1992
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Knots and links in the \(3\)-sphere, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Exactly solvable models; Bethe ansatz, Quantum groups and related algebraic methods applied to problems in quantum theory
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Knots and links in the \(3\)-sphere, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Exactly solvable models; Bethe ansatz, Quantum groups and related algebraic methods applied to problems in quantum theory
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