摘要
对于域k上任一个m×m矩阵Λ∈Symm(k)定义了一个Clifford代数C(Λ),C(Λ)同构于自由代数Fm(Γ)模去某个理想I的商代数.证明了I是Fm(Γ)的E(n)-子模,由此推出C(Λ)也是一个E(n)-模代数,它的E(n)-模作用由E(n)在Fm(Γ)上的作用导出,记这样的Clifford E(n)-模代数为C(Λ,Γ),同时刻画了C(Λ,Γ)的相关结构.
For a m × m and matrix Λ∈Symm (k) of field k, we defines a Clifford algebraC(∧) , which is isomorphic to a free algebraic Fm (Г) model the ideal I quotient. Firstly, we proved that I is Fm(Г) E (n) - submodule, then concluded that C(∧) is an E (n) - model algebra, whose E (n) - model action is derived from the Fm (Г) - model, here, we denote Clifford E (n) - model algebra by C(∧,Г) . At the same time we described the related structure of C(∧,Г) .
作者
郑烨
ZHENG Ye(Department of Basic Course, Jiangsu Food and Pharmaceutica Science College, Huai'an 223003, Chin)
出处
《山东理工大学学报(自然科学版)》
CAS
2017年第1期76-78,共3页
Journal of Shandong University of Technology:Natural Science Edition