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

页码：1713 / 1729

页数：17

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