On locally semi-simple representations of quivers
classification
🧮 math.RT
keywords
semi-simplelocallyquiverrepresentationrepresentationsacyclicciteendomorphisms
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In this paper, we solve a problem raised by V. Kac in \cite{Kac} on locally semi-simple quiver representations. Specifically, we show that an acyclic quiver $Q$ is of tame representation type if and only if every representation of $Q$ with a semi-simple ring of endomorphisms is locally semi-simple.
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