有限典型空间中子空间包含的条件

Including Conditions of Subspaces in Finite Classical Space

设IFnq 是有限域IFq 上的n维向量空间 ,Gn 是IFq 上的n级典型群 ,IFnq 和Gn 在它上的作用一起称为典型空间 .本文给出了有限典型空间中子空间包含的条件及正交空间中的矩阵表示 .

Let IF n q be an n _dimensional vector space over a finite field IF q ,and G n be one of the classical groups of degree n over IF q .IF q together with the action of G n on it is called the classical space.In this paper,the including conditions of subspaces in finite classical space and the matrix representations in orthogonal space is offered.