Applications of the freezing operators on cluster algebras

被引：0
|
作者：
Qin, Fan [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, 19 Xinjiekouwai St, Beijing 100875, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年
基金：
中国国家自然科学基金;
关键词：
Cluster algebras; bases; scattering diagrams; BASES;
D O I：
10.1142/S0219498825503578
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We apply freezing operators to relate different (quantum) upper cluster algebras. We prove that these operators send localized (quantum) cluster monomials to localized (quantum) cluster monomials. They also send bases to bases in many cases. In addition, the bases constructed via freezing coincide with those constructed via localization.
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页数：30
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