Coadjoint semi-direct orbit andsymplectic Deformations

Abstract: Given a non-compact semisimple Lie algebra $\mathfrak{g}$, we induce on it a semi-direct product structure such that its coadjoint orbit can be seen as a deformation by diffeomorphism of the classical semisimple adjoint orbit (in fact, a symplectomorphism with respect to the Hermitian symplectic form). As an application of this deformation, we can find out some Lagrangian submanifolds (with respect to the Hermitian form) of the adjoint orbit.

Mathematics

Audience: researchers in the topic

Comments: This talk will be delivered in Spanish with slides in English.

Seminario de Geometría y Física - Matemática UCN-USP