2 papers
math.NT2025
A cluster theory approach from mutation invariants to Diophantine equations
Zhichao Chen, Zixu Li
In this paper, we define and classify the sign-equivalent exchange matrices. We give a Diophantine explanation for the differences between rank 2 cluster algebras of finite type an…
math.RT2024
Mutation invariants of cluster algebras of rank 2
Zhichao Chen, Zixu Li
We consider the mutation invariants of cluster algebras of rank 2. We characterize the mutation invariants of finite type. Two examples are provided for the affine type and we prov…