Mutation-finite quivers with real weights

Anna Felikson; Pavel Tumarkin

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arXiv · 1902.01997

Mutation-finite quivers with real weights

Anna Felikson·Pavel Tumarkin

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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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Anna Felikson, Pavel Tumarkin. 2022-05-03. Mutation-finite quivers with real weights. https://arxiv.org/abs/1902.01997

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