Some conjectures on generalized cluster algebras via the cluster formula and D-matrix pattern

被引：14

作者：

Cao, Peigen ^{[1
]}

Li, Fang ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Yuquan Campus, Hangzhou 310027, Zhejiang, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2018年 / 493卷

基金：

中国国家自然科学基金;

关键词：

Cluster algebra; Generalized cluster algebra; Exchange graph; Cluster pattern; Cluster formula; CATEGORIES;

D O I：

10.1016/j.jalgebra.2017.08.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the theory of generalized cluster algebras, we build the so-called cluster formula and D-matrix pattern. Then as applications, some fundamental conjectures of generalized cluster algebras are solved affirmatively. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：57 / 78

页数：22

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