论文标题
由Stokes现象引起的量子群的表示
Representations of quantum groups arising from the Stokes phenomenon
论文作者
论文摘要
在本文中，我们证明，量子在二阶Pole的量子微分方程的矩阵产生了量子组$ u_q（\ frak {gl} _n）$的表示。我们从二阶POL的经典Stokes矩阵的变形量化的角度来解释我们的结果。结果，我们可以在斯托克斯现象的理论和量子群的理论之间获得字典。我们简要讨论了几个这样的对应关系，并概述了我们的结果对所有经典类型的Lie代数和以任意顺序POL的量子微分方程的概括。
In this paper we prove that the quantum Stokes matrices of the quantum differential equation at a second order pole give rise to representations of the quantum group $U_q(\frak{gl}_n)$. We explain our results from the viewpoint of deformation quantization of the classical Stokes matrices at a second order pole. As a consequence, we can get a dictionary between the theory of Stokes phenomenon and the theory of quantum groups. We briefly discuss several such correspondences, and outline the generalization of our results to all classical types of Lie algebras and to the quantum differential equation at an arbitrary order pole.
