论文标题
从饰面模式到集群类别
From frieze patterns to cluster categories
论文作者
论文摘要
由Conway和Coxeter的组合结果激励，我们绘制了针对无环砂的集群代数和集群类别的介绍。目的是展示这些更抽象的理论如何为关于饰面的现象（主要是整体性和周期性）提供概念上的解释。
Motivated by Conway and Coxeter's combinatorial results concerning frieze patterns, we sketch an introduction to the theory of cluster algebras and cluster categories for acyclic quivers. The goal is to show how these more abstract theories provide a conceptual explanation for phenomena concerning friezes, principally integrality and periodicity.
