聚类特征标的一个精化乘法公式
A refined multiplication formula for cluster characters
摘要：
我们得到了（稳定）2-Calabi-Yau（Frobenius或）三角范畴上簇特征标的乘法公式。这个公式推广了已知的任意对象对和Auslander-Reiten三角形的公式。作为一个应用程序，我们表明，集群代数的非循环类型，专业化的集群变量为1发送所有集群变量的元素的集群代数较小的秩。我们也得到应用程序的减少friezes的无环型。
英文摘要：
We obtain a multiplication formula for cluster characters on (stably) 2-Calabi-Yau (Frobenius or) triangulated categories. This formula generalizes those known for arbitrary pairs of objects and for Auslander-Reiten triangles. As an application, we show that for cluster algebras of acyclic types, specialization of a cluster variable to 1 sends all cluster variables to elements of a cluster algebra of smaller rank. We also obtain application to the reduction of friezes of acyclic type.
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