5 citations · 10 across the 5 of their papers we have counts for
8 papers · 1 filter
On exchange matrices from string diagrams
Peigen Cao
Inspired by Fock-Goncharov's amalgamation procedure \cite{Fock-Goncharov-2006}, Shen-Weng introduced string diagrams in \cite{Shen-Weng-2021}, which are very useful to describe man…
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…
-systems
Peigen Cao
A -system is a collection of -bases of with some extra axiomatic conditions. There are two kinds of actions "mutations" and "co-Bongartz comple…
Unistructurality of cluster algebras
Peigen Cao, Fang Li
We prove that any skew-symmetrizable cluster algebra is unistructural, which is a conjecture by Assem, Schiffler, and Shramchenko. As a corollary, we obtain that a cluster automorp…
The enough -pairs property and denominator vectors of cluster algebras
Peigen Cao, Fang Li
In this paper, we introduce the enough -pairs property for a principal coefficients cluster algebra, which can be understood as a strong version of the sign-coherence of the …
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.