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Paper detail

Orbits of the Centralizer of a Linear Operator

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.

preprint2011arXivOpen access
Paul BestMarco GualtieriPatrick Hayden
math.DSmath.CA
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Paul BestMarco GualtieriPatrick Hayden

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