Stability and Indecomposability of the Representations of Quivers of An-type
Abstract
In his paper MR1, Markus Reineke proposed a conjecture that there exists a stable weight system for every indecomposable representation of Dynkin type quiver. In this paper, we showed this conjecture is true for quivers of An-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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