5 citations · 10 across the 4 of their papers we have counts for
5 papers
On some combinatorial properties of generalized cluster algebras
Peigen Cao, Fang Li
In this paper, we prove some combinatorial results on generalized cluster algebras. To be more precisely, we prove that (i) the seeds of a generalized cluster algebra $\mathcal A(\…
A conjecture on cluster automorphisms of cluster algebras
Peigen Cao, Fang Li, Siyang Liu +1
A cluster automorphism is a -algebra automorphism of a cluster algebra satisfying that it sends a cluster to another and commutes with mutations. Chang and…
Positivity of denominator vectors of cluster algebras
Peigen Cao, Fang Li
In this paper, we prove that positivity of denominator vectors holds for any skew-symmetric cluster algebra.
Uniformly column sign-coherence and the existence of maximal green sequences
Peigen Cao, Fang Li
In this paper, we prove that each matrix in is uniformly column sign-coherent with respect to any skew-symmetrizable integer matrix.…
Study on cluster algebras via abstract pattern and two conjectures on d-vectors and g-vector
Peigen Cao, Fang Li
We mainly introduce an abstract pattern to study cluster algebras. Cluster algebras, generalized cluster algebras and Laurent phenomenon algebras are unified in the language of gen…