具有奇素数p的p^3阶算子群下的不变双线性型
Invariant bilinear forms under the operator group of order p^3 with odd prime p
摘要：
本文计算了代数闭域F上p为奇素数的p^3阶群的n次表示的个数和相应的不变双线性型空间的维数。明确地讨论了非退化不变双线性型的存在性。结果是重要的，因为它们的应用在物理科学的研究。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
