发表机构
Université de Strasbourg（斯特拉斯堡大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文确定了Mellin-KZ差分方程的普适伽罗瓦群为与Deligne-Terasoma传输Hopf代数相关的pro-unipotent群，并用有限多重调和和实现Picard-Vessiot环，同时将Gamma修正投影结合子解释为纤维间的比较。
AI 中文摘要
我们确定了由Knizhnik-Zamolodchikov方程的Mellin变换得到的差分方程的普适伽罗瓦群，该群与Deligne和Terasoma在\cite{Markarian}中研究的传输Hopf代数相关的pro-unipotent群相同。在每个有限权重下，我们用有限多重调和和实现了Picard-Vessiot环。我们还把经典的Gamma修正投影结合子解释为该实现中有限纤维与正则化渐近纤维之间的比较。
英文摘要
We identify the universal Galois group of the difference equation obtained by the Mellin transform of the Knizhnik-Zamolodchikov equation with the prounipotent group associated with the transport Hopf algebra of Deligne and Terasoma studied in \cite{Markarian}. At each finite weight, we realize the Picard-Vessiot ring by finite multiple harmonic sums. We also interpret the classical Gamma-corrected projected associator as the comparison between finite and regularized asymptotic fibers in this realization.
Comments17 pages
