A short proof of the finiteness of Dynkin friezes

A short proof of the finiteness of Dynkin friezes

We give a short and elementary proof that every Dynkin diagram admits finitely many (positive integral) friezes. This was originally proven by Gunawan-Muller using the geometry of cluster algebras. The proof here provides an explicit (albeit inefficient) bound on values.

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Muller, Greg
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We give a short and elementary proof that every Dynkin diagram admits finitely many (positive integral) friezes. This was originally proven by Gunawan-Muller using the geometry of cluster algebras. The proof here provides an explicit (albeit inefficient) bound on values.
DOI:10.48550/arxiv.2312.11394