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arXiv · 1605.01676

A completely integrable system on $G_2$ coadjoint orbits

Jeremy Lane
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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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Jeremy Lane. 2016-05-05. A completely integrable system on $G_2$ coadjoint orbits. https://arxiv.org/abs/1605.01676

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