论文标题

半圆形轨道的变形,用于谎言代数和拉格朗日submanifolds

Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds

论文作者

Báez, Jhoan, Martin, Luiz A. B. San

论文摘要

我们给出了经典半神经外壳和由cartan分解给出的半独立产品之间的圆形轨道的差异变形。这两种结构承认在半圣复合物中定义的遗传符合形式。我们提供了一些应用程序,例如拉格朗日submanifolds的构造。

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.

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