Geodesic
Mutation-finite quivers with real weights
Forum of Mathematics, Sigma, Tome 11 (2023)

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We classify all mutation-finite quivers with real weights. We show that every finite mutation class not originating from an integer skew-symmetrisable matrix has a geometric realisation by reflections. We also explore the structure of acyclic representatives in finite mutation classes and their relations to acute-angled simplicial domains in the corresponding reflection groups. 
@article{10_1017_fms_2023_8,
     author = {Anna Felikson and Pavel Tumarkin},
     title = {Mutation-finite quivers with real weights},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {11},
     year = {2023},
     doi = {10.1017/fms.2023.8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2023.8/}
}
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Anna Felikson; Pavel Tumarkin. Mutation-finite quivers with real weights. Forum of Mathematics, Sigma, Tome 11 (2023). doi: 10.1017/fms.2023.8

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