Invariant bilinear forms under the operator group of order p³ with odd prime p
DOI:
https://doi.org/10.22199/issn.0717-6279-5228Keywords:
bilinear forms, representation theory, vector spaces, direct sums, semi direct productAbstract
For an odd prime p, we formulate the number of all degree n representations of a group of order p3. And calculating the dimension of space of invariant bilinear forms corresponding to degree n representation over a field F which contains a primitive p3 root of unity. Here we also explicitly discussed the existence of a non-degenerate invariant bilinear form of the same space.
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