Title : 
Properties about affine group on manifolds
         
        
            Author : 
Chuanyan, Hou ; Yong, He ; Qi, Yang
         
        
            Author_Institution : 
Sch. of Math. Sci., Xinjiang Normal Univ., Urumqi, China
         
        
        
        
        
        
        
            Abstract : 
In this paper, affine algebra of affine group, that is Lie-affine algebra, is defined, and bracket operator on it is offered. At the same time, adjoint representation of affine group and some proposition which is related with the Poisson affine group are offered.
         
        
            Keywords : 
Lie algebras; stochastic processes; Lie-affine algebra; Poisson affine group; bracket operator; Educational institutions; Geometry; Helium; Jacobian matrices; Manifolds; Sufficient conditions; Affine group; Lie group; Lie-affine algebra; Poisson affine group;
         
        
        
        
            Conference_Titel : 
Business Management and Electronic Information (BMEI), 2011 International Conference on
         
        
            Conference_Location : 
Guangzhou
         
        
            Print_ISBN : 
978-1-61284-108-3
         
        
        
            DOI : 
10.1109/ICBMEI.2011.5920976