关于全矩阵代数的几类子代数的中心

About the Center of Some Types of Sub algebra of Full Matrix Algebra

根据有限维代数的理论以及域K上矩阵的性质,给出域K上全矩阵代数Mn(K)的子代数对角矩阵代数Dn(K)、若当代数Jn(K)、上三角矩阵代数Tn(K)以及独生子代数K[A]的中心。

Based on the theory of finite dimensional algebra and the nature of matrix in field K, the centers of some sub algebras, such as the diagonal matrix algebra D_n(K), Jordan algebra J_n(K), upper-triangular matrix algebra T_n(K) and sub algebra generated by K[A] of complete matrix algebra M_n(K) in field K are presented in this paper.