论文标题
命令p^3的操作员组下的不变双线性形式,奇数prime p
Invariant bilinear forms under the operator group of order p^3 with odd prime p
论文作者
论文摘要
在本文中,我们计算了p p^3的n度表示的数量,p od prime和在代数闭合场f上不变双线性形式的相应空间的尺寸。我们明确地讨论了非层次不变双线性双线性形式的存在。由于它们在物理科学研究中的应用,结果很重要。
In this paper we compute the number of n degree representations of a group of order p^3 for p an odd prime and the dimensions of corresponding spaces of invariant bilinear forms over an algebraically closed field F. We explicitly discuss about the existence of non-degenerate invariant bilinear forms. The results are important due to their application in the studies of physical sciences.