正多边形刚体运动下的不变双线性型
Invariant bilinear forms under the rigid motions of a regular polygon
摘要：
本文对n为正整数，计算了复数域C上2m阶二面体群G的n次表示的个数，m \geq 3及相应的G不变双线性型空间的维数.我们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, for n a positve integer, we compute the number of n degree representations for a dihedral group G of order 2m, m \geq 3 and the dimensions of the corresponding spaces of G invariant bilinear forms over a complex field C. We explicitly discuss about the existence of a non-degenerate invariant bilinear form. The results are important due to their applications 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。
