Exercises with the universal R-matrix

Abstract

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 $A_2^{(1)}$.

36 pages

References in corpus (4)

• Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relation
• Hidden Grassmann Structure in the XXZ Model II: Creation Operators
• Hidden Grassmann structure in the XXZ model
• Baxter's Q-operators for supersymmetric spin chains

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