Cluster-tilted algebras of finite representation type
Cluster-tilted algebras of finite representation type
复制标题
有限表示型簇倾斜代数
DOI：
10.1016/j.jalgebra.2006.08.005
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发表时间：
2005
影响因子：
0.9
通讯作者：
I. Reiten
中科院分区：
文献类型：
--
作者：
A. B. Buan;Robert J. Marsh;I. Reiten
研究了代数闭域上有限表示型的簇倾斜代数。我们给出了有限表示型的箭图的关系的明确描述。作为一个结果，我们证明了一个（基本）集群倾斜代数有限型是唯一确定的，它的ε。同时，还得到了有限表示型簇倾斜代数箭图形状的沿着必要条件。
We investigate the cluster-tilted algebras of finite representation type over an algebraically closed field. We give an explicit description of the relations for the quivers for finite representation type. As a consequence we show that a (basic) cluster-tilted algebra of finite type is uniquely determined by its quiver. Also some necessary conditions on the shapes of quivers of cluster-tilted algebras of finite representation type are obtained along the way.