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Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds (2007.14541v1)
Published 29 Jul 2020 in math.DG and math.SG
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.
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