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arxiv: 1003.1317 · v2 · submitted 2010-03-05 · 🧮 math.RT

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Representations of Thread Quivers

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classification 🧮 math.RT
keywords quiversthreadcategorydualityhereditaryrepresentationsserrealgebraically
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We introduce thread quivers as an (infinite) generalization of quivers, and show that every k-linear (k algebraically closed) hereditary category with Serre duality and enough projectives is equivalent to the category of finitely presented representations of a thread quiver. In this way, we obtain an explicit construction of a new class of hereditary categories with Serre duality.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the Hereditariness of the Representations of Thread Quivers

    math.RT 2026-04 unverdicted novelty 7.0

    For every thread quiver the abelian category of pointwise finite-dimensional representations is hereditary.