Constructs two commuting families of polynomial first integrals for magnetic geodesic flows on reductive homogeneous spaces G/A, yielding a superintegrable system via a reduced Poisson algebra in a dense regular locus.
Knapp.Lie groups Beyond an Introduction, volume 140 ofProgress in Mathematics
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Poisson Centralisers and Polynomial Superintegrability for Magnetic Geodesic Flows on Reductive Homogeneous Spaces
Constructs two commuting families of polynomial first integrals for magnetic geodesic flows on reductive homogeneous spaces G/A, yielding a superintegrable system via a reduced Poisson algebra in a dense regular locus.