On the Construction of Trigonometric Solutions of the Yang-Baxter Equation

Details On the Construction of Trigonometric Solutions of the Yang-Baxter Equation On the Construction of Trigonometric Solutions of the Yang-Baxter Equation

1994-05-05

arxiv.org/abs/hep-th/9405030v2

Nucl.Phys. B432 (1994) 377-403

Physics

High Energy Physics

High Energy Physics - Theory

latex file, 29 pages, Universitaet Bielefeld and University of Queensland preprint, BI-TP-94/13, UQMATH-94-02 (minor correctio

Scientific paper

10.1016/0550-3213(94)90607-6

We describe the construction of trigonometric R-matrices corresponding to the (multiplicity-free) tensor product of any two irreducible representations of a quantum algebra $U_q(\G)$. Our method is a generalization of the tensor product graph method to the case of two different representations. It yields the decomposition of the R-matrix into projection operators. Many new examples of trigonometric R-matrices (solutions to the spectral parameter dependent Yang-Baxter equation) are constructed using this approach.

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