Sign-Coherence of C-Vectors and Maximal Green Sequences for Acyclic Sign-Skew-Symmetric Matrices

被引：0
|
作者：
Ahmad, Diana [1 ]
Li, Fang [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Yuquan Campus, Hangzhou 310027, Zhejiang, Peoples R China
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2021年 / 24卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Cluster algebra; Sign-coherence property; Maximal green sequence; Orbit-maximal green sequence; Sign-skew symmetric matrix; CLUSTER ALGEBRAS; QUIVERS;
D O I：
10.1007/s10468-020-09970-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we construct an unfolding forc-vectors of acyclic sign-skew symmetric matrices and we also prove that the sign-coherence property holds for acyclic sign-skew-symmetric matrices. Then we prove that every acyclic sign-skew-symmetric matrix admits a maximal green sequence.
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页码：811 / 827
页数：17
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