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

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• 作者：Jinde Xu^a ; ^{jinde.xu@usherbrooke.ca} ; Baiyu Ouyang^b ; ^{oy@hunnu.edu.cn}
• 关键词：primary ; 16G20 ; 16G70 ; secondary ; 18E30
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：473
• 期：Complete
• 页码：183-193
• 全文大小：306 K
• 卷排序：473

文摘

Let CC be a connected Hom-finite 2-CY triangulated category. We prove that if TT is a functorially finite maximal rigid subcategory of CC without loops in its quiver, then TT is cluster-tilting. In particular, this gives a positive answer to a conjecture proposed in [5].