The Singularity Categories of the Cluster-Tilted Algebras of Dynkin Type

被引：11
|
作者：
Chen, Xinhong [1 ]
Geng, Shengfei [2 ]
Lu, Ming [2 ]
机构：
[1] Southwest Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2015年 / 18卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Cluster-tilted algebras; Good mutation; Gorenstein algebras; Gorenstein projective modules; Singularity category; EQUIVALENCE CLASSIFICATION; GORENSTEIN; QUIVERS; MODULES; A(N);
D O I：
10.1007/s10468-014-9507-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 type A, D and E respectively.
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页码：531 / 554
页数：24
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