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Mutation-finite quivers with real weights

Felikson, A.; Tumarkin, P.

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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-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.

Citation

Felikson, A., & Tumarkin, P. (2023). Mutation-finite quivers with real weights. Forum of Mathematics, Sigma, 11, Article e9. https://doi.org/10.1017/fms.2023.8

Journal Article Type Article
Acceptance Date Jan 12, 2023
Online Publication Date Feb 10, 2023
Publication Date 2023
Deposit Date Jul 1, 2019
Publicly Available Date Feb 13, 2023
Journal Forum of Mathematics, Sigma
Print ISSN 2050-5094
Publisher Cambridge University Press
Peer Reviewed Peer Reviewed
Volume 11
Article Number e9
DOI https://doi.org/10.1017/fms.2023.8
Related Public URLs https://arxiv.org/abs/1902.01997

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