LIFTING TO MAXIMAL RIGID OBJECTS IN 2-CALABI-YAU TRIANGULATED CATEGORIES

被引：1
|
作者：
Xie, Yunli [1 ,2 ]
Liu, Pin [2 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[2] Southwest Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 10期
关键词：
2-Calabi-Yau category; tilting modules; maximal rigid objects; CLUSTER; ALGEBRAS; MODULES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that a tilting module over the endomorphism algebra of a maximal rigid object in a 2-Calabi-Yau triangulated category lifts to a maximal rigid object in this 2-Calabi-Yau triangulated category. This strengthens recent work of Fu and Liu for cluster-tilting objects.
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页码：3361 / 3367
页数：7
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