Exercises with the universal R-matrix

Physics – Mathematical Physics

Scientific paper

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36 pages

Scientific paper

10.1088/1751-8113/43/41/415208

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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