On -Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• ISSN: 1815-0659
• Main Authors: Fu, Changjian, Peng, Liangang, Ye, Huihui
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212340
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On -Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula. Changjian Fu, Liangang Peng and Huihui Ye. SIGMA 20 (2024), 080, 26 pages

We show the polynomial property of -polynomials for generalized quantum cluster algebras and obtain the associated separation formulas under a mild condition. Along the way, we obtain Gupta's formulas of -polynomials for generalized quantum cluster algebras. These formulas specialize to Gupta&#...