辛群胚与泊松群胚作用的充要条件

The Necessary and Sufficient Conditions of the Function of the Symplectic Groupoids and Poisson Groupoids

研究了辛群胚与泊松群胚的作用.利用李群胚作用及相关性质,得到了李群胚作用成为辛群胚和泊松群胚作用的充要条件,推广了辛群胚和泊松群胚的性质,为辛群胚与泊松群胚理论的进一步研究起到了推动作用.

In this paper,we study the function of symplectic groupoids and poisson groupoids.By using the function of he groupoids and its relevant properties,We get the necessary and sufficient conditions by which the function of he groupoids can become the function of the symplectic groupoids and poisson groupoids.We also extend the domain of application of properties which promotes the further studies of the symplectic groupoids and poisson groupoids.