On the mutation loops of valued quivers

• Видавець: Lugansk National Taras Shevchenko University
• Дата: 2023
• Автор: Saleh, I.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2023
• Теми: cluster algebras; global mutation loops; Primary 13F60; Secondary 05E15
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2083

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 \(Q\)...