Exercises with the universal R-matrix

Herman Boos, Frank Göhmann, Andreas Klümper, Khazret S. Nirov, Alexander V. Razumov

Published 2010-04-29, updated 2010-10-01Version 3

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 $A_2^{(1)}$.