Stability and Indecomposability of the Representations of Quivers of $A_n$-type

Pengfei Huang; Zhi Hu

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Stability and Indecomposability of the Representations of Quivers of A_n-type

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arxiv 1905.11841 v2 pith:67E37XI6 submitted 2019-05-28 math.RT

Stability and Indecomposability of the Representations of Quivers of A_n-type

Pengfei Huang , Zhi Hu This is my paper

classification math.RT

keywords systemtypeweightconjecturequiverscitecombinatorialconstruction

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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.

Stability and Indecomposability of the Representations of Quivers of A_n-type

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