ON MODULES OVER ENDOMORPHISM ALGEBRAS OF MAXIMAL RIGID OBJECTS IN 2-CALABI-YAU TRIANGULATED CATEGORIES

被引：5
|
作者：
Liu, Pin [1 ]
Xie, Yunli [1 ]
机构：
[1] Southwest Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 10期
关键词：
2-Calabi-Yau category; Maximal rigid object; Tilting module; CLUSTER-TILTED ALGEBRAS; TILTING MODULES; TUBES;
D O I：
10.1080/00927872.2013.809531
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This note investigates the modules over the endomorphism algebras of maximal rigid objects in 2-Calabi-Yau triangulated categories. We study the possible complements for almost complete tilting modules. Combining with Happel's theorem, we show that the possible exchange sequences for tilting modules over such algebras are induced by the exchange triangles for maximal rigid objects in the corresponding 2-Calabi-Yau triangulated categories. For the modules of infinite projective dimension, we generalize a recent result by Beaudet-Br stle-Todorov for cluster-tilted algebras.
引用
收藏
页码：4296 / 4307
页数：12
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