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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2019
• ISSN: 1815-0659
• Hauptverfasser: Fujiwara, S., Gyoda, Y.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2019
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210182
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...