On Maximal Green Sequence for Quivers Arising from Weighted Projective Lines

被引：0
|
作者：
Fu, Changjian [1 ]
Geng, Shengfei [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2023年 / 26卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Quiver mutation; Maximal green sequence; Weighted projective line; CLUSTER ALGEBRAS; TRIANGULATED CATEGORIES; MUTATION;
D O I：
10.1007/s10468-022-10152-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the existence and non-existence of maximal green sequences for quivers arising from weighted projective lines. Let Q be the Gabriel quiver of the endomorphism algebra of a basic cluster-tilting object in the cluster category C-X of a weighted projective line X. It is proved that there exists a quiver Q' in the mutation equivalence class Mut(Q) of Q such that Q' admits a maximal green sequence. Furthermore, there is a quiver in Mut(Q) which does not admit a maximal green sequence if and only if X is of wild type.
引用
收藏
页码：1713 / 1729
页数：17
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