From recollement of triangulated categories to recollement of abelian categories

被引：0
作者：
LIN YaNan WANG MinXiong School of Mathematical SciencesXiamen UniversityXiamen China School of Mathematical SciencesHuaqiao UniversityQuanzhou China [1 ,1 ,2 ,1 ,361005 ,2 ,362021 ]
机构：
来源：
ScienceChina(Mathematics) | 2010年 / 53卷 / 04期
关键词：
triangulated category; abelian category; recollement; tilting subcategory; quotient category;
D O I：
暂无
中图分类号：
O152.1 [有限群论];
学科分类号：
070104 ;
摘要：
In this paper,we prove that if a triangulated category D admits a recollement relative to triangulated categories D' and D″,then the abelian category D/T admits a recollement relative to abelian categories D'/i(T) and D″/j(T) where T is a cluster tilting subcategory of D and satisfies i i (T)  T,j j (T) T.
引用
收藏
页码：1111 / 1116
页数：6
相关论文
共 4 条
[1]  
One-point extension and recollement[J]. LIN YaNan LIN ZengQiang~+ School of Mathematical Science, Xiamen University, Xiamen 361005, China.Science in China(Series A:Mathematics). 2008(03)
[2]  
Recollements of extension algebras[J]. 陈清华,林亚南.Science in China,Ser.A. 2003(04)
[3]  
From triangulated categories to abelian categories: cluster tilting in a general framework[J] . Steffen Koenig,Bin Zhu.Mathematische Zeitschrift . 2008 (1)
[4]   ELEMENTARY CONSTRUCTION OF PERVERSE SHEAVES [J].
MACPHERSON, R ;
VILONEN, K .
INVENTIONES MATHEMATICAE, 1986, 84 (02) :403-435
1