Expander representations of quivers

2024/11/23 by Reineke, Markus
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #primary 16G20 #secondary 05C48

paper · doi:10.48550/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.

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