2 citations · 5 across the 6 of their papers we have counts for
6 papers
Generalized frieze varieties and Gröbner bases
Siyang Liu
We study properties of generalized frieze varieties for quivers associated to cluster automorphisms. Special cases include acyclic quivers with Coxeter automorphisms and quivers wi…
On the properties of acyclic sign-skew-symmetric cluster algebras
Siyang Liu
We study the tropical dualities and properties of exchange graphs for the totally sign-skew-symmetric cluster algebra under a condition. We prove that the condition always holds fo…
On maximal green sequences in abelian length categories
Fang Li, Siyang Liu
In this article, we study the relationship among maximal green sequences, complete forward hom-orthogonal sequences and stability functions in abelian length categories. Mainly, we…
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…
Periodicities in cluster algebras and cluster automorphism groups
Fang Li, Siyang Liu
In this paper, we study the relations between groups related to cluster automorphism groups which are defined by Assem, Schiffler and Shamchenko in \cite{ASS}. We establish the rel…
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…