弱交换空间的极大维数
THE MAXIMAL DIMENSION FOR WEAKLY COMMUTATIVE SPACES

本文研究了特征0代数闭域上弱交换空间的极大维数.利用了矩阵相似变换的方法,获得了在共轭意义下极大弱交换空间的分类结果,推广了Schur定理的结果.
In this paper, we study the maximal dimension of weakly commutative spaces over algebraically closed fields of characteristic zero. By similar operations for matrices, we obtain the classiflcation for the maximal weakly commutative spaces in the sense of conjugation and generalize Schur's theorem