Recognition: unknown
Representations of Thread Quivers
classification
🧮 math.RT
keywords
quiversthreadcategorydualityhereditaryrepresentationsserrealgebraically
read the original abstract
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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Forward citations
Cited by 1 Pith paper
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On the Hereditariness of the Representations of Thread Quivers
For every thread quiver the abelian category of pointwise finite-dimensional representations is hereditary.
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