Invariant bilinear forms under the rigid motions of a regular polygon
Group Theory
2021-03-03 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2103.01517,
title = {Invariant bilinear forms under the rigid motions of a regular polygon},
author = {Dilchand Mahto and Jagmohan Tanti},
journal= {arXiv preprint arXiv:2103.01517},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2006.05307, arXiv:1910.09850