(A)over-tilde and (D)over-tilde type cluster algebras: triangulated surfaces and friezes

被引：0

作者：

Pallister, Joe ^{[1
]}

机构：

[1] Chiba Univ, Fac Sci, Dept Math & Informat, Chiba, Japan

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2022年 / 56卷 / 04期

基金：

日本学术振兴会;

关键词：

Cluster algebras; Friezes; Dynamical systems; Cluster category;

D O I：

10.1007/s10801-022-01152-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By viewing (A) over tilde and (D) over tilde type cluster algebras as triangulated surfaces, we find all cluster variables in terms of either (i) the frieze pattern (or bipartite belt) or (ii) the periodic quantities previously found for the cluster map associated with these frieze patterns. We show that these cluster variables form friezes which are precisely the ones found by Assem-Dupont by applying the cluster character to the associated cluster category.

引用

页码：1163 / 1202

页数：40

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