On locally semi-simple representations of quivers

Calin Chindris; Dan Kline

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arXiv · 1507.05689

On locally semi-simple representations of quivers

Calin Chindris·Dan Kline

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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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BibTeX RIS

Calin Chindris, Dan Kline. 2015-07-21. On locally semi-simple representations of quivers. https://arxiv.org/abs/1507.05689

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