Integral Presentations for the Universal R - matrix

نویسنده

  • Denis Uglov
چکیده

We present an integral formula for the universal R -matrix of quantum affine algebra Uq(ĝ) 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 Uq(ŝl2) we 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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تاریخ انتشار 2000