作者
Yu Zhou, Bin Zhu
发表日期
2011/12/15
期刊
Journal of Algebra
卷号
348
期号
1
页码范围
49-60
出版商
Academic Press
简介
We study the functorially finite maximal rigid subcategories in 2-CY triangulated categories and their endomorphism algebras. Cluster tilting subcategories are obviously functorially finite and maximal rigid; we prove that the converse is true if the 2-CY triangulated categories admit a cluster tilting subcategory. As a generalization of a result of Keller and Reiten (2007) [KR], we prove that any functorially finite maximal rigid subcategory is Gorenstein with Gorenstein dimension at most 1. Similar as cluster tilting subcategory, one can mutate maximal rigid subcategories at any indecomposable object. If two maximal rigid objects are reachable via simple mutations, then their endomorphism algebras have the same representation type.
学术搜索中的文章
Y Zhou, B Zhu - Journal of Algebra, 2011