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1. Factorization of the universalR-matrix for $$U_q \left( {\hat sl_2 } \right)^1 $$

Author

S. Pakuliak, Jintai Ding, and S. Khoroshkin

Subjects
Matrix (mathematics), Pure mathematics, Quantum affine algebra, Tensor product, Factorization, Differential equation, Mathematics::Quantum Algebra, Structure (category theory), Statistical and Nonlinear Physics, Integral form, Hopf algebra, Mathematical Physics, Mathematics
Abstract

The factorization of the universal R-matrix corresponding to the so-called Drinfeld Hopf structure is described in the example of the quantum affine algebra $$U_q \left( {\hat sl_2 } \right)$$ . As a result of the factorization procedure, we deduce certain differential equations on the factors of the universal R-matrix that allow uniquely constructing these factors in the integral form.

Published
2000
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