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arXiv · 2007.14541

Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds

Jhoan Báez·Luiz A. B. San Martin
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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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Jhoan Báez, Luiz A. B. San Martin. 2020-07-29. Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds. https://doi.org/10.1016/j.difgeo.2021.101719

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