A classification of triangular constant solutions of the Yang-Baxter equations is performed. The formulae for the Baxterization of braid group representation are used for finding trigonometric solutions of the Yang-Baxter equations from the constant ones. Some of the obtained solutions correspond to known solutions but several new ones are obtained as well. The calculations confirm that the Baxterization formulae for more than two eigenvalues of the R-matrix are not universal.
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Ladislav Hlavatý (1992) studied this question.
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