On $F$-Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula
Rings and Algebras
2024-09-04 v3 Quantum Algebra
Abstract
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's formulas for quantum cluster algebras and cluster algebras respectively. Finally, a generalization of Gupta's formula has also been discussed in the setting of generalized cluster algebras.
Keywords
Cite
@article{arxiv.2401.15601,
title = {On $F$-Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula},
author = {Changjian Fu and Liangang Peng and Huihui Ye},
journal= {arXiv preprint arXiv:2401.15601},
year = {2024}
}