论文标题
集群合奏的不变功能
Invariant Functions On Cluster Ensembles
论文作者
论文摘要
我们在群集集合中定义了群集模块组在其相关函数字段上的动作的概念。我们将许多先前研究功能的示例视为这种不变环的元素，并提供了许多新的示例。我们表明，这些不变性具有几何学和数理论解释，并将它们分类为与Aggine dynkin图相关的合奏。
We define the notion of an invariant function on a cluster ensemble with respect to an action of the cluster modular group on its associated function fields. We realize many examples of previously studied functions as elements of this type of invariant ring and give many new examples. We show that these invariants have geometric and number theoretic interpretations, and classify them for ensembles associated to affine Dynkin diagrams.
