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Stability and Indecomposability of the Representations of Quivers of $A_n$-type
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math.RT
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systemtypeweightconjecturequiverscitecombinatorialconstruction
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abstract
In his paper \cite{MR1}, Markus Reineke proposed a conjecture that there exists a stable weight system $\Theta$ for every indecomposable representation of Dynkin type quiver. In this paper, we showed this conjecture is true for quivers of $A_n$-type by combinatorial construction of a special weight system. We also reinterpret this weight system in terms of semi-invariant theory.
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