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

被引：12

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.

引用

页码：531 / 554

页数：24

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