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arXiv · 1110.4899

Orbits of the Centralizer of a Linear Operator

Paul Best·Marco Gualtieri·Patrick Hayden
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Abstract

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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Paul Best, Marco Gualtieri, Patrick Hayden. 2011-10-21. Orbits of the Centralizer of a Linear Operator. https://arxiv.org/abs/1110.4899

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