论文标题
GG系统的全球分析
Global analysis of GG systems
论文作者
论文摘要
本文介绍了I.M.Gelfand和M.I.Graev引入的GG系统的一些分析方面:我们计算了GG系统的解决方案空间在功能上的Meromorthic和lattice周期性上的周期性。我们描述了溶液空间的单构不变子空间。我们在一对底座之间提供了一个连接公式,该基础由$γ$ - 系的解决方案组成的GG系统的解决方案与一对常规三角形相关的GG系统中的解决方案在次要风扇中相邻。
This paper deals with some analytic aspects of GG system introduced by I.M.Gelfand and M.I.Graev: we compute the dimension of the solution space of GG system over the field of functions meromorphic and periodic with respect to a lattice. We describe the monodromy invariant subspace of the solution space. We give a connection formula between a pair of bases consisting of $Γ$-series solutions of GG system associated to a pair of regular triangulations adjacent to each other in the secondary fan.