4 papers
On the Number of Arrows of Cluster Quivers
Qiuning Du, Fang Li, Jie Pan
Let (resp. ) be an extended exchange (resp. exchange) cluster quiver of finite mutation type. We introduce the distribution set of the number of arrows for $Mut[\til…
On inner Poisson structures of a quantum cluster algebra without coefficients
Fang Li, Jie Pan
The main aim of this article is to characterize inner Poisson structure on a quantum cluster algebra without coefficients. Mainly, we prove that inner Poisson structure on a quantu…
Poisson structure and second quantization of quantum cluster algebras
Fang Li, Jie Pan
Motivated by the phenomenon that compatible Poisson structures on a cluster algebra play a key role on its quantization (that is, quantum cluster algebra), we introduce the second…
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…