摘要
本文给出了复数域Ｆ上ｎ维向量空间Ｆｎ中向量积的表示，讨论了Ｆｎ作成的酉空间及Ｆｎ作成的代数的同构问题，考察了Ｆｎ中内积和向量积在它们的表示下的性质，作出并推证了Ｆｎ作成的酉代数中的一些重要结论。
After the expressions of inner products and vector products on the n_dimensional complex linear vector space Fn are given.The isomorphic mappings between U-spaces or between algebras yielded from Fn are discussed,and some properties of the inner products and some theorems about U-algebras are manifested.
出处
《四川轻化工学院学报》
1994年第1期47-59,共13页
Journal of Sichuan Institute of Light Industry and Chemical Technology
关键词
内积
向量积
序矩
酉代薮
inner product
vector product
n-tuples of matrixes
U-algebra
G.S algebra
