A Geometric Realization Method for Type B Cluster Algebras

被引：0

作者：

Zhang J. ^{[1
]}

Qi X. ^{[1
]}

机构：

[1] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing

来源：

Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology | 2023年 / 43卷 / 05期

关键词：

cluster algebra; cluster expansion formula; perfect matching; σ-invariant triangulation;

D O I：

10.15918/j.tbit1001-0645.2022.122

中图分类号：

学科分类号：

摘要：

Considering a (2n+2)-polygon P, a geometric realization was proposed for cluster algebra B of type B. As an application, a cluster expansion formula was presented for each cluster variable of B and the relationship between clusters of B and triangulations of P were clarified. At the same time, the correspondence between orbit flips of σ-invariant triangulations Γ and mutations of clusters of B was constructed based on a designed commutative diagram. © 2023 Beijing Institute of Technology. All rights reserved.

引用

页码：534 / 539

页数：5

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