R-matrices and Tensor Product Graph Method
Mark D. Gould, Yao-Zhong Zhang
TL;DR
This paper discusses the Tensor Product Graph Method, a systematic approach for constructing trigonometric R-matrices for tensor products of representations in quantum affine superalgebras, with applications to untwisted and twisted cases.
Contribution
It extends the Tensor Product Graph Method to quantum affine superalgebras, providing a systematic way to construct R-matrices for their tensor products.
Findings
Successfully applied the method to untwisted superalgebras
Extended the method to twisted superalgebras
Provided explicit R-matrices for specific cases
Abstract
A systematic method for constructing trigonometric R-matrices corresponding to the (multiplicity-free) tensor product of any two affinizable representations of a quantum algebra or superalgebra has been developed by the Brisbane group and its collaborators. This method has been referred to as the Tensor Product Graph Method. Here we describe applications of this method to untwisted and twisted quantum affine superalgebras.
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