Deformations of adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds

被引：1

作者：

Baez, Jhoan ^{[1
]}

San Martin, Luiz A. B. ^{[1
]}

机构：

[1] Univ Estadual Campinas, Imecc, Dept Matemat, Rua Sergio Buarque Holanda 651,Cidade Univ, BR-13083859 Campinas, SP, Brazil

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2021年 / 75卷

基金：

巴西圣保罗研究基金会;

关键词：

Adjoint orbits; Homogeneous space; Hermitian symplectic form; Lagrangian submanifolds;

D O I：

10.1016/j.difgeo.2021.101719

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：21

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