Abstract
By taking the concept of weight conservation into account, new solutions of Yang-Baxter equation without spectral parameter are obtained through the non-standard R-matrix on the tensorial space V1/2 ⊗ Vj (j ≠ 1/2) in terms of the irreducible representation of the quantum universal enveloping algebra SLq (2). The non-standard R-matrix R1/2 1 is obtained in an explicit form for j = 1.
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