Stability and indecomposability of the representations of quivers of A(n)-type

摘要

In his paper, 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. Communicated by Jason P. Bell