Symplectic geometry of semisimple orbits
Symplectic Geometry
2008-10-22 v1 Representation Theory
Abstract
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.
Cite
@article{arxiv.0810.3816,
title = {Symplectic geometry of semisimple orbits},
author = {Hassan Azad and Erik van den Ban and Indranil Biswas},
journal= {arXiv preprint arXiv:0810.3816},
year = {2008}
}
Comments
25 pages