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Expander representations of quivers

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arxiv 2411.15609 v2 pith:MEOAH5BQ submitted 2024-11-23 math.RT math.CO

classification math.RTmath.CO
keywords expanderrepresentationsquiversalgebraalgebraicallybasecartanclosed
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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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Cited by 1 Pith paper

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  1. Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper derives a tree-of-unlinkings formula for wild Donaldson-Thomas invariants of m-Kronecker quivers from wall-crossing identities rewritten through symmetric quivers and diagonalization.

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