Basic Definitions and Examples
Let G be a compact connected Lie group, g its Lie algebra, and g* the vector space dual of g. G acts on g by its adjoint action and on g* by the dual coadjoint action. The orbits of this action are compact simply-connected submanifolds of g*, and from now on we will refer to them simply as “coadjoint orbits.”
KeywordsSymplectic Form Symplectic Manifold Coadjoint Orbit Hamiltonian Action Combinatorial Invariant
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