CLUSTER AUTOMORPHISM GROUPS AND AUTOMORPHISM GROUPS OF EXCHANGE GRAPHS

被引：1
|
作者：
Chang, Wen [1 ,2 ]
Zhu, Bin [2 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing, Peoples R China
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2020年 / 307卷 / 02期
关键词：
cluster algebra; cluster automorphism group; exchange graph; ALGEBRAS;
D O I：
10.2140/pjm.2020.307.283
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a coefficient-free cluster algebra A, we study the cluster automorphism group Aut (A) and the automorphism group Aut (E-A) of its exchange graph E-A. We show that these two groups are isomorphic with each other, if A is of finite type excepting types of rank 2 and type F-4, or if A is of skew-symmetric finite mutation type.
引用
收藏
页码：283 / 302
页数：20
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