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Mutation-finite quivers with real weights (1902.01997v2)
Published 6 Feb 2019 in math.CO and math.RA
Abstract: We classify all mutation-finite quivers with real weights. We show that every finite mutation class not originating from an integer skew-symmetrizable matrix has a geometric realization 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.
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