When frieze patterns meet Y-systems: Y-frieze patterns

TL;DR

This paper introduces Y-frieze patterns, explores their properties, and connects them to Coxeter's frieze patterns, providing an elementary understanding of this mathematical concept.

Contribution

It presents the concept of Y-frieze patterns and establishes their relationship with Coxeter's frieze patterns, offering new insights into their structure.

Findings

Y-frieze patterns are connected to Coxeter's frieze patterns

Properties of Y-frieze patterns are systematically explained

Elementary account of Y-frieze patterns provided

Abstract

We give an elementary account of the notion of Y-frieze patterns, explain some of their properties, and reveal their connection with Coxeter's frieze patterns.