Professor Anna Felikson anna.felikson@durham.ac.uk
Professor
Mutation-finite quivers with real weights
Felikson, A.; Tumarkin, P.
Authors
Professor Pavel Tumarkin pavel.tumarkin@durham.ac.uk
Professor
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 | Mar 29, 2024 |
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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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/
Copyright Statement
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
© The Author(s), 2023. Published by Cambridge University Press
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