Duality between Final-Seed and Initial-Seed Mutations in Cluster Algebras

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2019
• Автори: Fujiwara, S., Gyoda, Y.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2019
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210182
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Duality between Final-Seed and Initial-Seed Mutations in Cluster Algebras / S. Fujiwara, Y. Gyoda // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 9 назв. — англ.

We study the duality between the mutations and the initial-seed mutations in cluster algebras, where the initial-seed mutations are the transformations of rational expressions of cluster variables in terms of the initial cluster under the change of the initial cluster. In particular, we define the m...