泛R-矩阵的积分表示
Integral Presentations for the Universal R-matrix
摘要：
给出了具有Drinfeld余乘的量子仿射代数的泛R-矩阵的积分公式。我们证明了泛R-矩阵的性质是由适当构形空间中的圈的分解性质得出的。对于一般g，我们猜想这样的循环存在且唯一。对于$U_q(\hat{sl}_2)$，精确地描述了环，并通过计算相应的积分给出了泛R矩阵的一个新的简单表达式。
英文摘要：
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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