一类G_nT-模的子模结构

Submodule Structure of Certain G_nT-Modules

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.