- 94-127 Delius G.W., Gould M.D., Zhang Y.-Z.
- On the Construction of Trigonometric Solutions of the Yang-Baxter Equation
May 9, 94
(auto. generated ps),
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Abstract. 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.