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On locally semi-simple representations of quivers (1507.05689v1)
Published 21 Jul 2015 in math.RT
Abstract: 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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