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arXiv · 2411.15609

Expander representations of quivers

Markus Reineke
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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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Markus Reineke. 2024-11-23. Expander representations of quivers. https://arxiv.org/abs/2411.15609

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