Huihui Ye

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math.RA2025

$f$ -vectors and $F$ -invariant in generalized cluster algebras

Huihui Ye, Changjian Fu

We establish certain fundamental properties of $f$ -vectors and $F$ -matrices for generalized cluster algebras, including the initial and final seed mutation formulas, the compatibil…

math.RA2024

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

Changjian Fu, Liangang Peng, Huihui Ye

We show the polynomial property of $F$ -polynomials for generalized quantum cluster algebras and obtain the associated separation formulas under a mild condition. Along the way, we…

f-vectors and F-invariant in generalized cluster algebras

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

$f$ -vectors and $F$ -invariant in generalized cluster algebras

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