Deformations of adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds

Baez, Jhoan; San Martin, Luiz A. B.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Deformations of adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds

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Author(s):	Baez, Jhoan ^[1] ; San Martin, Luiz A. B. ^[1] Total Authors: 2
Affiliation:	^[1] Univ Estadual Campinas, Imecc, Dept Matemat, Rua Sergio Buarque Holanda 651, Cidade Univ, BR-13083859 Campinas, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 75, APR 2021.
Web of Science Citations:	0
Abstract
We give a coadjoint orbit?s diffeomorphic deformation between the classical semisimple case and the semi-direct product given by a Cartan decomposition. The two structures admit the Hermitian symplectic form defined in a semisimple complex Lie algebra. We provide some applications such as the constructions of Lagrangian submanifolds. ? 2021 Elsevier B.V. All rights reserved. (AU)

FAPESP's process:	07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:	Luiz Antonio Barrera San Martin
Support Opportunities:	Research Projects - Thematic Grants

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