Expander representations of quivers
Representation Theory
2024-11-26 v1 Combinatorics
Abstract
We propose a definition of expander representations of quivers, generalizing dimension (or linear algebra) expanders, as a qualitative refinement of slope stability. We prove existence of uniform expander representations for any wild quiver over an algebraically closed base field, using the concept of general subrepresentations and spectral properties of Cartan matrices.
Cite
@article{arxiv.2411.15609,
title = {Expander representations of quivers},
author = {Markus Reineke},
journal= {arXiv preprint arXiv:2411.15609},
year = {2024}
}
Comments
12 pages