48 citations · 136 across the 41 of their papers we have counts for
6 papers · 1 filter
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…
Categorification of sign-skew-symmetric cluster algebras and some conjectures on g-vectors
Peigen Cao, Min Huang, Fang Li
Using the unfolding method given in \cite{HL}, we prove the conjectures on sign-coherence and a recurrence formula respectively of -vectors for acyclic sign-skew-symmetric…
On Exchange Spectra of Valued Cluster Quivers and Cluster Algebras
Fang Li, Siyang Liu
Inspirited by the importance of the spectral theory of graphs, we introduce the spectral theory of valued cluster quiver of a cluster algebra. Our aim is to characterize a cluster…
A conjecture on -matrices of cluster algebras
Peigen Cao, Min Huang, Fang Li
For a skew-symmetrizable cluster algebra with principal coefficients at , we prove that each seed of is uniquely determined by its…