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Corpus ID: 119730681

Orbits of the Centralizer of a Linear Operator

@article{Best2011OrbitsOT,
title={Orbits of the Centralizer of a Linear Operator},
author={PaulJ. Best and Marco Gualtieri and Patrick M. Hayden},
journal={arXiv: Dynamical Systems},
year={2011}
}

We describe the orbit structure for the action of the centralizer group of a linear operator on a finite-dimensional complex vector space. The main application is to the classification of solutions to a system of first-order ODEs with constant coefficients. We completely describe the lattice structure on the set of orbits and provide a generating function for the number of orbits in each dimension.

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