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Two-Parameter Quantum Groups and R-Matrices: Classical Types

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Finite R-matrices were derived for quantum groups, elucidating their representation theory.
Using dual PBW-type bases, the evaluation of universal R-matrices shows crucial structural insights.
The research reveals explicit formulas for affine R-matrices, enhancing the understanding of quantum affine algebras.
Yang-Baxterization techniques are applied to extend previous results from quantum affine algebra studies.

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This research constructs R-matrices for quantum groups, revealing new insights into affine structures and representations.

Martin et al. (2025) studied this question.

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