Acyclic quantum cluster algebras via Hall algebras of morphisms

被引：0
|
作者：
Ming Ding
Fan Xu
Haicheng Zhang
机构：
[1] Guangzhou University,School of Mathematics and Information Science
[2] Tsinghua University,Department of Mathematical Sciences
[3] Nanjing Normal University,Institute of Mathematics, School of Mathematical Sciences
来源：
Mathematische Zeitschrift | 2020年 / 296卷
关键词：
Quantum cluster algebra; Hall algebra; Morphism category; 17B37; 16G20; 17B20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let A be the path algebra of a finite acyclic quiver Q over a finite field. We realize the quantum cluster algebra with principal coefficients associated to Q as a sub-quotient of a certain Hall algebra involving the category of morphisms between projective A-modules.
引用
收藏
页码：945 / 968
页数：23
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