Maximal rigid subcategories and cluster-tilting subcategories in 2-CY categories

被引：0
|
作者：
Xu, Jinde [1 ]
Ouyang, Baiyu [2 ]
机构：
[1] Univ Sherbrooke, Dept Math, Sherbrooke, PQ J1K 2R1, Canada
[2] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2017年 / 473卷
关键词：
2-CY triangulated categories; Cluster-tilting subcategories; Maximal rigid subcategories; 2-CALABI-YAU CATEGORIES;
D O I：
10.1016/j.jalgebra.2016.10.030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let C be a connected Horn-finite 2-CY triangulated category. We prove that if T is a functorially finite maximal rigid subcategory of C without loops in its quiver, then T is cluster-tilting. In particular, this gives a positive answer to a conjecture proposed in [5]. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：183 / 193
页数：11
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