Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds
arXiv:2007.14541 · doi:10.1016/j.difgeo.2021.101719
Abstract
We give a coadjoint orbit's diffeomorphic deformation between the classical semisimple case and the semi-direct product given by a Cartan decomposition. The two structures admit the Hermitian symplectic form defined in a semisimple complex Lie algebra. We provide some applications such as the constructions of Lagrangian submanifolds.
23 pages