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Revista Integración
Print version ISSN 0120-419XOn-line version ISSN 2145-8472
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.
MSC2020:
14M15, 22F30, 53D12.
Keywords : Coadjoint orbits; Homogeneous spaces; Lagrangian submanifolds; Hermitian symplectic form.