Wen Chang, Ralf Schiffler
Published 2018-12-12Version 1
We conjecture a characterization of a cluster automorphism as an algebra homomorphism from the cluster algebra to itself that restricts to a bijection between two clusters. This formulation does not require that the map commutes with mutations as in the original definition of cluster automorphisms. We prove the conjecture in the case where at least one of the two clusters is bipartite.
A conjecture on cluster automorphisms of cluster algebras
Categorification of sign-skew-symmetric cluster algebras and some conjectures on $\bf{g}$-vectors
On a conjecture of Kottwitz and Rapoport
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