摘要
两四元数相似当且仅当它们有相同的实部和模,两四元数合相似当且仅当它们有相同的模.应用四维Clifford代数的矩阵表示,得到了四维Clifford代数中两元素相似或合相似的充分必要条件.
It is well known that two quaternions are similar if and only if they have the same norm and real part and they are consimilar if and only if they have the same norm.Using the real matrix representations of 4-dimensional Clifford numbers,the author obtains necessary and sufficient conditions for two elements in 4-dimensional Clifford algebra to be similar or consimilar.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2010年第2期531-541,共11页
Acta Mathematica Scientia
基金
国家自然科学基金(10801107
10671004)
广东省自然科学基金博士科研启动基金(84529020001000043)
广东省教育厅育苗工程(LYM08097)资助
关键词
4维Clifford代数
矩阵表示
相似
合相似
4-dimensional Clifford algebra
Matrix representation
Similarity
Consimilarity
