Cluster braid groups of Coxeter-Dynkin diagrams

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2024-07-10 DOI:10.1016/j.jcta.2024.105935

Zhe Han , Ping He , Yu Qiu

引用次数: 0

Abstract

Cluster exchange groupoids are introduced by King-Qiu as an enhancement of cluster exchange graphs to study stability conditions and quadratic differentials. In this paper, we introduce the cluster exchange groupoid for any finite Coxeter-Dynkin diagram Δ and show that its fundamental group is isomorphic to the corresponding braid group associated with Δ.

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Coxeter-Dynkin 图的簇辫群

簇交换群（Cluster Exchange Groupoids）是邱锴为研究稳定性条件和二次微分而引入的簇交换图的增强。在本文中，我们引入了任意有限 Coxeter-Dynkin 图 Δ 的簇交换群，并证明其基本群与与 Δ 相关的相应辫状群同构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.