On the mutation loops of valued quivers

• Datum: 2023
• 1. Verfasser: Saleh, I.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2023
• Schlagworte: cluster algebras; global mutation loops; Primary 13F60; Secondary 05E15
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2083
• Назва журналу: Algebra and Discrete Mathematics

A mutation loop of a valued quiver, \(Q\), is a combination of quiver automorphisms and mutations that sends \(Q\)  to itself. Moreover, it will be called symmetric if it sends \(Q\) to \(\epsilon\sigma(Q)\), \(\epsilon \in \{-1, 1\}\) for some permutation \(\sigma\). A global mutation loop of \(Q\)...