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math.RA2025
-vectors and -invariant in generalized cluster algebras
Huihui Ye, Changjian Fu
We establish certain fundamental properties of -vectors and -matrices for generalized cluster algebras, including the initial and final seed mutation formulas, the compatibil…
math.RA2025
Pseudo grading on cluster automorphism group with application to cluster algebras of rank
Changjian Fu, Zhanhong Liang
We introduce a pseudo -grading on the cluster auotmorphism group with respect to an initial seed of , which consists of a…
math.RA2024
On -Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula
Changjian Fu, Liangang Peng, Huihui Ye
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…