Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 41 No. 1 (2023): Revista Integración, temas de matemáticas
Research and Innovation Articles

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

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  • Jhoan Sebastian Báez,
  • Luiz A.B. San Martin
Jhoan Sebastian Báez
Universidad nacional abierta y a distancia, ECBTI.
Luiz A.B. San Martin
Universidade estadual de Campinas, IMECC
DOI: https://doi.org/10.18273/revint.v41n1-2023002

Published 2023-02-20

Keywords

  • Coadjoint orbits,
  • Homogeneous spaces,
  • Lagrangian submanifolds,
  • Hermitian symplectic form

How to Cite

Báez, J., & San Martin, L. A. (2023). Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form. Revista Integración, Temas De matemáticas, 41(1), 27–42. https://doi.org/10.18273/revint.v41n1-2023002

Copyright (c) 2023 Revista Integración, temas de matemáticas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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.

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