摘要
给出了四维C lifford代数的复矩阵表示,证明了此表示的一些基本性质.利用定义的C lifford数的广义逆,得到了四维C lifford数可逆的充要条件及逆的一般表达式.作为所得结果的应用,得到了线性方程axb=c通解的表达式.
The complex matrix representation of elements in 4 - dimensional Clifford algebra is established, some properties of this representation are proved. By defining the Moore - Penrose inverse of Clifford number, a necessary and sufficient condition for an element in 4 - dimensional Clifford algebra to be invertible is obtained, and further an expression of an invertible Clifford number γ is given. As an application, the general explicit solution of linear equation axb = c is given.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2006年第2期214-219,共6页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(10271043
10571048)
教育部NCET(04-0783)
湖南省杰出青年基金资助项目(05JJ10001)
