论文标题
由$ q $ garnier系统引起的基本高几何系列的仿制weyl群。
An affine Weyl group action on the basic hypergeometric series arising from the $q$-Garnier system
论文作者
论文摘要
最近，我们制定了$ q $ -garnier系统及其变化为$ a^{（1）} _ {2n+1} \ times a^{（1）_ 1 \ times a^times a^{（1）} _ 1 $ $ a^{（1）_ 1 $ $ a^{（1）} _ {（1）_ 1 $ $的翻译。另一方面，这些系统以基本超几何序列$ {} _ {n+1} ϕ_n $来允许特定的解决方案。在本文中，我们调查了扩展仿期Weyl组在$ {} _ {n+1} ϕ_n $上的动作。
Recently, we formulated the $q$-Garnier system and its variations as translations of an extended affine Weyl group of type $A^{(1)}_{2n+1}\times A^{(1)}_1\times A^{(1)}_1$. On the other hand, those systems admit particular solutions in terms of the basic hypergeometric series ${}_{n+1}ϕ_n$. In this article, we investigate an action of the extended affine Weyl group on ${}_{n+1}ϕ_n$.
