ADJOINT ORBITS OF SEMI-SIMPLE LIE GROUPS AND LAGRANGIAN SUBMANIFOLDS

作者：Gasparim Elizabeth^*; Grama Lino; San Martin Luiz A B

来源：Proceedings of the Edinburgh Mathematical Society, 2017, 60(2): 361-385.

DOI：10.1017/S0013091516000286

• adjoint orbits
• symplectic fibrations
• Lagrangian submanifolds
• flag manifolds

We give various realizations of the adjoint orbits of a semi-simple Lie group and describe their symplectic geometry. We then use these realizations to identify a family of Lagrangian submanifolds of the orbits.

• 出版日期2017-5