【摘要】 证明了四元数体上n阶方阵构成的A型典型李代数的极大交换ad可对角化子代数的维数为n-1,并且共轭于迹为零的实对角矩阵构成的子代数.更多还原

【Abstract】 In this paper,we prove that the maximal abelian ad-diagonalizable subalgebra of the classical Lie algebras of type A consisiting of n × n matrices over the quaternions always has dimension n- 1 and it is conjugated with the algebra of real diagonal matrices of trace zero.更多还原