This paper,by considering the definition of Symplectic-Lie group,defines Symplectic-Affine group and discusses some of its charateristics,and finally proves respectively that the differential homeomorphism keeps the Possion structure on the Possion-groupoids and Symplectic structure on the Symlectic-groupoids.

and defined {,}operation of C ∞(P_1)C ∞(P_2) on Poisson manifolds of P_1、P_2, at the same time,we test and verified that C ∞(P_1)C ∞(P_2) forms Lie algebra,and then we discuss Poisson symplectic Lie grou

An analytical approach to one-dimensional finite strain non-linear consolidation by Lie group transformation;

Application of Lie group method in unicycle attitute and motion control;

Maximal Torus Subgroup of Connected Compact Lie groups;

By using standard ideas from Lie groups and Lie algebra, the recursive formulation and the Lagrangian formulation were presented.

We also prove that those systems are not integrable in the sense of Lie Groups.

Based on the interation between particles of quantum system and the possible geometric control to be applied,a mathematical model of two spin 1/2 particle system with interaction is built,whose variables are varying in the Lie groups of SU(4).

The decomposition mode of Weyl modules for the symplectic group Sp(4,3);

It is proved that under certain conditions finite linear groups and symplectic groups over finite fields of p elements can be linearly embedded into semi-linear groups and semi-linear symplectic groups over the same ground fields respectively,which improve the corresponding classical embedding theorem.

In this paper,the problem of generating symplectic group over local rings is studied,and the concept of defective number is presented.