Abstract

BAEZ, JHOAN  and  SAN MARTIN, LUIZ A.B.. Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form. Integración - UIS [online]. 2023, vol.41, n.1, pp.27-42.  Epub Oct 03, 2023. ISSN 0120-419X.  https://doi.org/10.18273/revint.v41n1-2023002.

We use the underlying structure of the coadjoint orbits of a semi-direct product of a connected Lie group and a vector space to obtain families of Lagrangian submanifolds in the adjoint orbits of complex semisimple Lie groups with respect to the symplectic hermitian form. This construction is a generalization of a type of semi-direct orbit previously studied by the authors.

Keywords : Coadjoint orbits; Homogeneous spaces; Lagrangian submanifolds; Hermitian symplectic form.

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