Cluster automorphisms
By Ibrahim Assem, Ralf Schiffler, Vasilisa Shramchenko. 2010
77 citations recorded by the source corpus.
In this article, we introduce the notion of cluster automorphism of a given cluster algebra as a ℤ‐automorphism of the cluster algebra that sends a cluster to another and commutes with mutations. We study the group of cluster automorphisms in detail for acyclic cluster algebras and cluster algebras from surfaces, and we compute this group explicitly for the Dynkin types and the euclidean types.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c9a3ee98365eaffc6ec1c3878122dd2d2b043be8
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Infinitely many Lagrangian fillings (2020, background): “an innite collection of pairwise non-Hamiltonian isotopic exact Lagrangians. The cluster modular groups of the remaining Grassmannians Gr(n;m+ n), with the pair (n;m) 2(N N) nH, are known to be nite [5, 30]. Thus, for these remaining Legendrian links ( n;m), (n;m) 2(N N)nH, our arguments will only y”