一个 B 型丛代数的几何实现

Jie Zhang; Xi Qi

doi:10.15918/j.tbit1001-0645.2022.122

一个 B 型丛代数的几何实现

Jie Zhang, Xi Qi^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

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.

投稿的翻译标题	A Geometric Realization Method for Type B Cluster Algebras
源语言	繁体中文
页（从-至）	534-539
页数	6
期刊	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
卷	43
期	5
DOI	https://doi.org/10.15918/j.tbit1001-0645.2022.122
出版状态	已出版 - 5月 2023

关键词

cluster algebra
cluster expansion formula
perfect matching
σ-invariant triangulation

访问文件

10.15918/j.tbit1001-0645.2022.122

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{3bb513dad5ac476db5b1718477a9d536,

title = "一个 B 型丛代数的几何实现",

abstract = "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.",

keywords = "cluster algebra, cluster expansion formula, perfect matching, σ-invariant triangulation",

author = "Jie Zhang and Xi Qi",

year = "2023",

month = may,

doi = "10.15918/j.tbit1001-0645.2022.122",

language = "繁体中文",

volume = "43",

pages = "534--539",

journal = "Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology",

issn = "1001-0645",

publisher = "Beijing Institute of Technology",

number = "5",

}

TY - JOUR

T1 - 一个 B 型丛代数的几何实现

AU - Zhang, Jie

AU - Qi, Xi

PY - 2023/5

Y1 - 2023/5

N2 - 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.

AB - 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.

KW - cluster algebra

KW - cluster expansion formula

KW - perfect matching

KW - σ-invariant triangulation

UR - http://www.scopus.com/inward/record.url?scp=85170213399&partnerID=8YFLogxK

U2 - 10.15918/j.tbit1001-0645.2022.122

DO - 10.15918/j.tbit1001-0645.2022.122

M3 - 文章

AN - SCOPUS:85170213399

SN - 1001-0645

VL - 43

SP - 534

EP - 539

JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

IS - 5

ER -

一个 B 型丛代数的几何实现

摘要

关键词

访问文件

其它文件与链接

指纹

引用此