一类G_nT-模的子模结构  

Submodule Structure of Certain G_nT-Modules

作　　者：濮燕敏[1] 叶家琛[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2004年第4期543-547,共5页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(10271088)

摘　　要：为了研究特征p>0的代数闭域K上某种光滑簇χ的D-仿射性质,需要考虑Hi(Z^(2(p-1)ρ))的零化性质,研究相应的G1T-模Z^(2(p-1)ρ)的基座列及其每个基座层的子模结构.为此,给出了G2型单连通单代数群G的G1T-模Z^(2(p-1)ρ)的基座列及其每个基座层的子模结构.In order to study the D-affine property of a certain smooth variety χ over an algebraically closed filed K of characteristic p>0,we need to consider the vanishing property of Hi(Z^(2(p-1)ρ)).Therefore,we have to study the socle series of the G_1T-module Z^(2(p-1)ρ) and its submodule structure of every socle layer.The socle series of the G_1T-module Z^(2(p-1)ρ) for the algebraic group of type G_2 and its submodule structure of every socle layer are given in this note.

关 键 词：基座列 子模结构 G2型代数群 

分 类 号：O152.6[理学—数学]