Denominators of cluster variables
Denominators of cluster variables
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DOI：
10.1112/jlms/jdn082
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发表时间：
2007-10
期刊：
影响因子：
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通讯作者：
A. B. Buan;B. Marsh;I. Reiten
中科院分区：
文献类型：
--
作者：
A. B. Buan;B. Marsh;I. Reiten
与任何非循环簇代数相关联的是一个对应的三角范畴，称为簇范畴。已知在簇代数中的簇变量和簇范畴中的例外不可分解对象之间存在一一对应，从而导致簇和簇倾斜对象之间的对应。
Associated to any acyclic cluster algebra is a corresponding triangulated category known as the cluster category. It is known that there is a one‐to‐one correspondence between cluster variables in the cluster algebra and exceptional indecomposable objects in the cluster category, inducing a correspondence between clusters and cluster‐tilting objects.