Automorphisms of cluster algebras of rank 2
J\'er\'emy Blanc, Igor Dolgachev

TL;DR
This paper determines the automorphism group of affine surfaces whose coordinate rings are rank 2 cluster algebras, providing insights into their symmetries and structure.
Contribution
It explicitly computes the automorphism group for rank 2 cluster algebra related affine surfaces, a novel classification in this context.
Findings
Automorphism group characterized for rank 2 cluster algebra surfaces
Identification of symmetries specific to these algebraic structures
Enhanced understanding of the automorphism structure in low-rank cluster algebras
Abstract
We compute the automorphism group of the affine surfaces with the coordinate ring isomorphic to a cluster algebra of rank 2.
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