Invariant bilinear forms under the rigid motions of a regular polygon

Dilchand Mahto; Jagmohan Tanti

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Invariant bilinear forms under the rigid motions of a regular polygon

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arxiv 2103.01517 v1 pith:QCWT53VZ submitted 2021-03-02 math.GR

Dilchand Mahto , Jagmohan Tanti This is my paper · ORCID

classification math.GR

keywords bilinearinvariantformsapplicationscomplexcomputecorrespondingdegree

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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.

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