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arXiv · 1911.09505

Hamiltonian Carleman approximation and the density property for coadjoint orbits

Fusheng Deng·Erlend Fornæss Wold
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Abstract

For a complex Lie group $G$ with a real form $G_0\subset G$, we prove that any Hamiltionian automorphism $ϕ$ of a coadjoint orbit $\mathcal O_0$ of $G_0$ whose connected components are simply connected, may be approximated by holomorphic $\mathcal O_0$-invariant symplectic automorphism of the corresponding coadjoint orbit of $G$ in the sense of Carleman, provided that $\mathcal O$ is closed. In the course of the proof, we establish the Hamiltonian density property for closed coadjoint orbits of all complex Lie groups.

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Fusheng Deng, Erlend Fornæss Wold. 2019-11-08. Hamiltonian Carleman approximation and the density property for coadjoint orbits. https://arxiv.org/abs/1911.09505

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