论文标题
在有价值的颤动的突变环上
On The Mutations Loops of Valued Quivers
论文作者
论文摘要
一个有价值的颤抖$ q $的突变环是箭量自动形态（顶点和估值的排列）和将$ q $发送给本身的突变的组合。在本文中，我们研究了我们所谓的\ emph {全局突变循环}，这是突变形成的序列，仅将每个Quiver $ q'$发送突变类$ [q] $ [q] $ [q] $ quiviver $ q'$ to $σ（q'）$。根据$ [q] $的重量和$ Q $的形状，我们确定哪些颤动具有突变全球循环，并为每种情况提供它们。
A mutation loop of a valued quiver $Q$, is a combination of quiver automorphisms (permutations of vertices and valuations) and mutations that sends $Q$ to itself. In this article we study what we called \emph{global mutations loops} which are sequences formed of mutations only that send each quiver $Q'$ in the mutation class $[Q]$ to $σ(Q')$ for some permutation $σ$. Based on the weight of $[Q]$ and the shape of $Q$, we identify which quivers have mutations global loops and we provide them for each case.
