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.

引用

页码：3361 / 3367

页数：7

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