Rooted Clusters for Graph LP Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Authors: Banaian, Esther, Chepuri, Sunita, Kelley, Elizabeth, Zhang, Sylvester W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211815
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rooted Clusters for Graph LP Algebras. Esther Banaian, Sunita Chepuri, Elizabeth Kelley and Sylvester W. Zhang. SIGMA 18 (2022), 089, 30 pages

LP algebras, introduced by Lam and Pylyavskyy, are a generalization of cluster algebras. These algebras are known to have the Laurent phenomenon, but positivity remains conjectural. Graph LP algebras are finite LP algebras encoded by a graph. For the graph LP algebra defined by a tree, we define a f...