central symmetric vector field

We introduce centrally symmetric vectors and centrally antisymmetric vectors,and show that each n-dimensional vector over number field P can be written in precisely one way as the sum of a centrally symmetric vector and an centrally antisymmetric vector.

引入中心对称向量和中心反对称向量的概念,证明数域P上任意n维向量都可以唯一地表示成一个中心对称向量和一个中心反对称向量的和;给出数域P上Skew对称矩阵的概念,并讨论其性质。