Mutation-finite quivers with real weights

Felikson, A.; Tumarkin, P.

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