Expander representations of quivers
arXiv:2411.15609
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.
12 pages. v2: Proof of Lemma 5.3. simplified, making Appendix obsolete; typos corrected; more precise references