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A completely integrable system on $G_2$ coadjoint orbits

Published 5 May 2016 in math.SG | (1605.01676v4)

Abstract: We construct a Gelfand-Zeitlin system on a one-parameter family of $G_2$ coadjoint orbits that are multiplicity-free Hamiltonian $SU(3)$-spaces. Using this system we prove a lower bound for the Gromov width of these orbits. This lower bound agrees with the known upper bound.

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Authors (1)

  1. Jeremy Lane 

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