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arxiv: 1004.5342 · v3 · pith:WS4P6BIWnew · submitted 2010-04-29 · 🧮 math-ph · math.MP· nlin.SI

Exercises with the universal R-matrix

classification 🧮 math-ph math.MPnlin.SI
keywords universalassociatedcartanderivationdetailedexercisesformulageneralized
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Using the formula for the universal $R$-matrix proposed by Khoroshkin and Tolstoy, we give a detailed derivation of $L$-operators for the quantum groups associated with the generalized Cartan matrices $A_1^{(1)}$ and $A_2^{(1)}$.

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