Exchange graphs of cluster algebras have the non‐leaving‐face property
نویسندگان
چکیده
This note shows that for any cluster algebra, the exchange graph has non-leaving-face property.
منابع مشابه
Cluster Automorphisms and the Marked Exchange Graphs of Skew-Symmetrizable Cluster Algebras
Cluster automorphisms have been shown to have links to the mapping class groups of surfaces, maximal green sequences and to exchange graph automorphisms for skew-symmetric cluster algebras. In this paper we generalise these results to the skew-symmetrizable case by introducing a marking on the exchange graph. Many skew-symmetrizable matrices unfold to skew-symmetric matrices and we consider how...
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ژورنال
عنوان ژورنال: Bulletin of The London Mathematical Society
سال: 2023
ISSN: ['1469-2120', '0024-6093']
DOI: https://doi.org/10.1112/blms.12836