On the Construction of Trigonometric Solutions of the Yang-Baxter Equation
High Energy Physics - Theory
2009-10-28 v2
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 . 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.
Keywords
Cite
@article{arxiv.hep-th/9405030,
title = {On the Construction of Trigonometric Solutions of the Yang-Baxter Equation},
author = {Gustav W. Delius and Mark D. Gould and Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:hep-th/9405030},
year = {2009}
}
Comments
latex file, 29 pages, Universitaet Bielefeld and University of Queensland preprint, BI-TP-94/13, UQMATH-94-02 (minor correction: in eq. (4.63) the number 32 should be replaced by 36 and in eq. (4.64) -16 becomes -18 and -10 becomes -8.)