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The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition (1802.08832v1)
Published 24 Feb 2018 in math.RA
Abstract: Given an endomorphism A over a finite dimensional vector space having Jordan-Chevalley decomposition, the lattices of invariant and hyperinvariant subspaces of A can be obtained from the nilpotent part of this decomposition. We extend this result for lattices of characteristic subspaces. We also obtain a generalization of Shoda's Theorem about the characterization of the existence of characteristic non hyperinvariant subspaces.
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