Factorization of the Universal R-matrix for $U_q(\hat{sl}_2)$

Mathematics – Quantum Algebra

Scientific paper

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28 pages, LaTeX 2.09 using amssym.def and amssym.tex

Scientific paper

10.1007/BF02551074

The factorization of the universal R-matrix corresponding to so called
Drinfeld Hopf structure is described on the example of quantum affine algebra
$U_q(\hat{sl}_2)$. As a result of factorization procedure we deduce certain
differential equations on the factors of the universal ${\cal R}$-matrix, which
allow to construct uniquely these factors in the integral form.

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