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1. Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form

Author

Jhoan Báez and Luiz A.B. San Martin

Subjects
Coadjoint orbits, Homogeneous spaces, Lagrangian submanifolds, Hermitian symplectic form, Mathematics, QA1-939
Abstract

We use the underlying structure of then coadjoint orbits of a semidirect 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.

Published
2023
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