水平和垂直突变扇
Horizontal and vertical mutation fans
摘要：
我们介绍图$m$ -集群类别，我们称之为“水平”和“垂直”突变球迷。这些类似于标准（$m=1$）簇情况下的突变扇（也称为“半不变图”或“散射图”），它们与生成挠类的偏序集是对偶的。这些图的目的是可视化$m$ -簇类别中最大绿色序列的突变和类似物，特别强调$c$ -载体（“砖”标签）。
英文摘要：
We introduce diagrams for $m$-cluster categories which we call "horizontal" and "vertical" mutation fans. These are analogous to the mutation fans (also known as "semi-invariant pictures" or "scattering diagrams") for the standard ($m=1$) cluster case which are dual to the poset of finitely generated torsion classes. The purpose of these diagrams is to visualize mutations and analogues of maximal green sequences in the $m$-cluster category with special emphasis on the $c$-vectors (the "brick" labels).
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。
