Mutation-finite quivers with real weights
Combinatorics
2022-05-04 v2 Rings and Algebras
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.
Cite
@article{arxiv.1902.01997,
title = {Mutation-finite quivers with real weights},
author = {Anna Felikson and Pavel Tumarkin},
journal= {arXiv preprint arXiv:1902.01997},
year = {2022}
}
Comments
28 pages, many figures; v2: minor corrections