2018/12/12 by Wen Chang, Ralf Schiffler, Chang, Wen +1
Mathematics · #13F60 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:13F60
paper · pdf · doi:10.48550/arxiv.1812.05034
This paper has been withdrawn by the authors, since there was a gap in the proof. The conjecture stated in the original version does not hold
openalex publication_date 2018/12/12 · arxiv created 2019/07/13 · arxiv updated 2019/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.