$q$-Garnier系统四阶退化现象源于quiver中的凝聚
Degenerations of the fourth order $q$-Garnier system arising from confluences in quivers
AI总结：
本文通过quiver中的凝聚研究四阶$q$-Garnier系统的退化结构，揭示其与扩展仿射Weyl群的簇代数构造的关系。
摘要：
$q$-Garnier系统最初由Sakai提出，其离散时间演化方向由Nagao和Yamada给出。最近研究表明，所有这些方向的离散时间演化均源于由Masuda、Okubo和Tsuda建立的簇代数构造所得到的扩展仿射Weyl群的birational表示。本文通过研究quiver中的凝聚，探讨四阶$q$-Garnier系统的退化结构。
英文摘要：
The $q$-Garnier system was first proposed by Sakai, and alternative directions for its discrete time evolutions were provided by Nagao and Yamada. Recently, it was shown that all of those evolution directions are derived from a birational representation of an extended affine Weyl group which arises from the cluster algebraic construction established by Masuda, Okubo and Tsuda. In this article, we investigate a degeneration structure of the fourth order $q$-Garnier system by using confluences in quivers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
