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math.RT2023
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…
math.CO2023
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…