Invariant bilinear forms under the operator group of order p^3 with odd prime p
Representation Theory
2021-06-24 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2006.05307,
title = {Invariant bilinear forms under the operator group of order p^3 with odd prime p},
author = {Dilchand Mahto and Jagmohan Tanti},
journal= {arXiv preprint arXiv:2006.05307},
year = {2021}
}
Comments
Submitted for kind consideration. arXiv admin note: substantial text overlap with arXiv:1910.09850