Periodicities in cluster algebras and cluster automorphism groups

13 Apr 2020 Li Fang Liu Siyang

In this paper, we study the relations between groups related to cluster automorphism groups which are defined by Assem, Schiffler and Shamchenko in \cite{ASS}. We establish the relationship among (strict) direct cluster automorphism groups and those groups consisting of periodicities of respectively labeled seeds and exchange matrices in the language of short exact sequences... (read more)

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