关于辛仿射群和群胚上的讨论  

Discussion on Symplectic-Affine Group and Groupoids

作　　者：胡月宏 卢维娜[2] 袁丽霞[2] 

机构地区：[1]新疆马兰63650部队 [2]新疆师范大学数理信息学院

出　　处：《新疆师范大学学报（自然科学版）》2007年第4期15-17,共3页Journal of Xinjiang Normal University(Natural Sciences Edition)

摘　　要：由于李群H上的G-仿射群是一个李群,所以它具有李群的性质。文章根据辛李群的概念,定义了辛仿射群,并讨论了他的相关性质,文章最后分别证明了微分同胚保持Poisson群胚及辛群胚的Poisson结构和辛结构。The G-Affine group on the Lie group H is a Lie group,so it has the characteristics of the Lie group. 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 homeo-morphism keeps the Possion structure on the Possion--groupoids and Symplectic structure on the Symlectic--groupoids.

关 键 词：仿射群 辛李群 群胚 

分 类 号：O175.2[理学—数学]