שמור ב:
מידע ביבליוגרפי
מחבר ראשי: Xu, Xiaomeng
פורמט: Preprint
יצא לאור: 2020
נושאים:
גישה מקוונת:https://arxiv.org/abs/2012.15673
תגים: הוספת תג
אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!
תוכן הענינים:
  • 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.