摘要
利用单位四元数的分量矩阵来研究SO(4)群,指出SO(4)群中每个矩阵都可以分解为两种单位四元数分量矩阵乘积的形式。同时,得到它的两个正规子群。最后,以实例来验证分解定理。
In this paper, we study the group SO (4) by using the quaternion component matrices of unit quaternion, and find that each element in the group can be decomposed into the product of two quaternion component matrices. At the same time, we get two normal subgroups. Finally, an example is given to illustrate the theorem.
出处
《南京工业职业技术学院学报》
2005年第4期85-87,共3页
Journal of Nanjing Institute of Industry Technology