Symplectic geometry of semisimple orbits

Details Symplectic geometry of semisimple orbits Symplectic geometry of semisimple orbits

2008-10-21

arxiv.org/abs/0810.3816v1

Mathematics

Symplectic Geometry

25 pages

Scientific paper

We prove that any coadjoint orbit with real eigenvalues of a complex
semisimple Lie group, equipped with the real part of the canonical holomorphic
symplectic form, is symplectomorphic to the cotangent bundle of a (partial)
flag manifold. Moreover, we generalize this result to hyperbolic orbits in a
real semisimple Lie algebra.

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