四元数体上A型典型李代数MAD子代数的共轭性
A Conjugacy Theorem for the MAD Subalgebras of Classical Lie Algebras of Type A Over the Quarternions
靳全勤 1李秀仙 1邰昭东1
作者信息
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.
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.
关键词
四元数/典型李代数/MAD子代数/共轭Key words
Quaternions/Classical Lie algebras/MAD subalgebras/Conjugate引用本文复制引用
出版年
2014
NETL
NSTL
维普
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