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Results tagged with coadjoint-orbit
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user 172459
Given a Lie group $G$, it acts smoothly on the dual $\mathfrak g^*$ of its Lie algebra $\mathfrak g$ by the coadjoint action. The orbits of that action are called coadjoint orbits.
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Compact coadjoint orbits
The following statement is from the article Compact Coadjoint Orbits by John Rawnsley:
If $\mathcal{O}$ is a compact coadjoint orbit for the group $G$ then there is a closed normal subgroup $H$ of $G …
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Question about the Kähler structure on generic coadjoint orbits
Let $G$ be a compact connected Lie group. We denote by $\mathfrak{g}$ the Lie algebra of $G$ and by $\mathfrak{g}^*$ the dual space of $\mathfrak{g}$. Let $\mathcal{O}_r: = G\cdot r$ be a generic coad …
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