Lie group has the special characteristics, that is,Lie group is not only a group but also a differential manifolds ,so the symplectic structure and the affine groups can be generalized on it.

• 抓住李群同时是群和微分流形的特殊性质，将辛结构和仿射群在李群上进行了推广，并讨论了它们的一些相关性质。