On locally semi-simple representations of quivers

2015/07/21 by Chindris, Calin, Kline, Dan
#14L30 #16G20 #16G60 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1507.05689

Abstract

In this paper, we solve a problem raised by V. Kac in \citeKac 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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