Proceedings of the Edinburgh Mathematical Society · 2016 · 20 citations · 4 references
Natural SciencesMathematicsGeometryGroup TheoryInvariant ManifoldsLagrangian MechanicsLie AlgebrasLie GroupsSymplectic GeometryCoadjoint OrbitsLagrangian SubmanifoldsLie Group ActionsSemisimple Lie AlgebrasSemisimple Lie GroupsSimple Lie GroupsSymplectic FormsSymplectic Spaces
Abstract We give various realizations of the adjoint orbits of a semi-simple Lie group and describe their symplectic geometry. We then use these realizations to identify a family of Lagrangian submanifolds of the orbits.
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