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

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&#...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine