arXiv Analytics

Sign in

arXiv:2401.09704 [math.RT]AbstractReferencesReviewsResources

Mutation invariants of cluster algebras of rank 2

Zhichao Chen, Zixu Li

Published 2024-01-18Version 1

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 prove the non-existence of Laurent mutation invariants of non-affine type. As an application, a class of Diophantine equations encoded with cluster algebras are studied.

Comments: 33 pages
Categories: math.RT, math.CO, math.RA
Subjects: 13F60, 11D09, 11D25
Related articles: Most relevant | Search more
arXiv:2306.11438 [math.RT] (Published 2023-06-20)
$F$-invariant in cluster algebras
arXiv:2408.03792 [math.RT] (Published 2024-08-07)
Log-concavity of cluster algebras of type $A_n$
arXiv:2108.09279 [math.RT] (Published 2021-08-20)
Cluster algebras and their bases

Links

Toolbox