On the Generalized Cluster Algebras of Geometric Type

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Bai, Liqian, Chen, Xueqing, Ding, Ming, Xu, Fan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211028
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Generalized Cluster Algebras of Geometric Type. Liqian Bai, Xueqing Chen, Ming Ding and Fan Xu. SIGMA 16 (2020), 092, 14 pages

We develop and prove the analogs of some results shown in [Berenstein A., Fomin S., Zelevinsky A., Duke Math. J. 126 (2005), 1-52] concerning lower and upper bounds of cluster algebras to the generalized cluster algebras of geometric type. We show that lower bounds coincide with upper bounds under t...