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arXiv · 1905.11841

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

Pengfei Huang·Zhi Hu
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Abstract

In his paper \cite{MR1}, Markus Reineke proposed a conjecture that there exists a stable weight system $Θ$ 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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Pengfei Huang, Zhi Hu. 2020-02-13. Stability and Indecomposability of the Representations of Quivers of $A_n$-type. https://doi.org/10.1080/00927872.2020.1724298

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