Cohomology in algebra, geometry, physicsand statistics

Every symplectic manifold is a (linear) coadjoint orbit

I will show that every symplectic manifold is a (linear) coadjoint orbit of the group of automorphisms of the integration bundle, independently of the group of periods of the symplectic form. This result generalizes the Kirilov- Kostant-Souriau theorem when the symplectic manifold is homogeneous under the action of a Lie group and the symplectic form is integral.
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https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09
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