On solutions to the Yang-Baxter equation related to sl(n)
In this thesis the problem of constructing solutions to the Yang-Baxter equation is considered. Such solutions are known as R-matrices and we study a certain class of these related to the quantum affine sl(n) algebra. Using a variety of unrelated methods the matrix elements for different representations of the quantum group are constructed. In the process the structure of the solutions and their symmetries are detailed including a realisation of the R-matrix...[Show more]
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