Once More about Spectral-Dependent Quantum R-Matrix for Uq(A₂)

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The recently obtained results in ZG2 are used to compute the explicitly spectral-dependent R-matrix (or the intertwiners) on V₍₆₎(x)⊗ V₍₆₎(y) and V₍₃₎(x)⊗ V₍₆₎(y), where V₍₆₎ and V₍₃₎ are the 6-dimensional and fundamental representations of Uq(A₂), respectively. It appears that the R-matrix on V₍₃₎(x)⊗ V₍₆₎(y) depends on q in the different way from what one might usually think: q occurs in the R-matrix in fractional powers. It seems to be the first example in literatures of R-matrix with the new feature.