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arxiv: 0708.3413 · v2 · pith:YCWS7PVMnew · submitted 2007-08-26 · 🧮 math.RT · math.RA

Orbit semigroups and the representation type of quivers

classification 🧮 math.RT math.RA
keywords orbitquiversemigroupsconnectedcyclesdynkineuclideanfinite
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We show that a finite, connected quiver Q without oriented cycles is a Dynkin or Euclidean quiver if and only if all orbit semigroups of representations of Q are saturated.

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