CLUSTER-TILTED ALGEBRAS AND THEIR INTERMEDIATE COVERINGS

被引：16
|
作者：
Zhu, Bin [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 07期
关键词：
Cluster-tilted algebras; Cluster tilting objects (subcategories); Coverings; Repetitive cluster categories; TRIANGULATED CATEGORIES; MUTATION;
D O I：
10.1080/00927872.2010.489082
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The intermediate coverings of cluster-tilted algebras are constructed from the repetitive cluster categories which are defined in this article. These repetitive cluster categories are Calabi-Yau triangulated categories with fractional CY-dimension and have also cluster tilting objects. Furthermore, we show that the representations of these intermediate coverings of cluster-tilted algebras are induced from the repetitive cluster categories.
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页码：2437 / 2448
页数：12
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