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Integral Presentations for the Universal R-matrix

J. Ding·S. Khoroshkin·S. Pakuliak
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Abstract

We present an integral formula for the universal R-matrix of quantum affine algebra with 'Drinfeld comultiplication'. We show that the properties of the universal R-matrix follow from the factorization properties of the cycles in proper configuration spaces. For general g we conjecture that such cycles exist and unique. For $U_q(\hat{sl}_2)$ describe precisely the cycles and present a new simple expression for the universal R-matrix as a result of calculation of corresponding integrals.

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BibTeXRIS

J. Ding, S. Khoroshkin, S. Pakuliak. 2000-08-30. Integral Presentations for the Universal R-matrix. https://arxiv.org/abs/math/0008226

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