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On the Harder-Narasimhan filtration for finite dimensional representations of quivers (1210.5475v2)
Published 19 Oct 2012 in math.AG and math.RT
Abstract: We prove that the Harder-Narasimhan filtration for an unstable finite dimensional representation of a finite quiver coincides with the filtration associated to the 1-parameter subgroup of Kempf, which gives maximal unstability in the sense of Geometric Invariant Theory for the corresponding point in the parameter space where these objects are parametrized in the construction of the moduli space.
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