论文标题
斯托克斯现象，泊松族和量子组
Stokes phenomena, Poisson-Lie groups and quantum groups
论文作者
论文摘要
令G为一个复杂的半圆形谎言代数，G是与G相对应的简单相互连接的泊松型组，并且g* dual dual。 Boalch [Bo1，Bo2]使用了G值的Stokes现象，以对G*的泊松结构进行规范的分析线性化。第一作者使用了UG值的Stokes现象来构建杀死KZ联合人的扭曲，因此给出了Drinfeld-Jimbo量子量组U_HG的先验结构（ARXIV：1601.04076）。在本文中，我们表明可以作为后者的半经典极限获得。一路上，我们还表明，U_HG的R-Matrix是动态KZ方程的Stokes矩阵。
Let g be a complex semisimple Lie algebra, G the simply-connected Poisson-Lie group corresponding to g, and G* its dual. G-valued Stokes phenomena were used by Boalch [Bo1,Bo2] to give a canonical, analytic linearisation of the Poisson structure on G*. Ug-valued Stokes phenomena were used by the first author to construct a twist killing the KZ associator, and therefore give a transcendental construction of the Drinfeld-Jimbo quantum group U_hg (arXiv:1601.04076). In the present paper, we show that the former construction can be obtained as semiclassical limit of the latter. Along the way, we also show that the R-matrix of U_hg is a Stokes matrix for the dynamical KZ equations.
