The Singularity Categories of the Cluster-Tilted Algebras of Dynkin Type
The Singularity Categories of the Cluster-Tilted Algebras of Dynkin Type
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DOI：
10.1007/s10468-014-9507-6
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发表时间：
2014-04
影响因子：
0.6
通讯作者：
Xinhong Chen;Shengfei Geng;Ming Lu
中科院分区：
文献类型：
--
作者：
Xinhong Chen;Shengfei Geng;Ming Lu
利用自内射代数的稳定范畴来刻画Dynkin型簇倾斜代数的奇异范畴。进而，我们分别解决了A型、D型和E型簇倾斜代数的奇异等价分类问题。
We use the stable categories of some selfinjective algebras to describe the singularity categories of the cluster-tilted algebras of Dynkin type. Furthermore, in this way, we settle the problem of singularity equivalence classification of the cluster-tilted algebra of typeA,DandErespectively.