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Invariant bilinear forms under the operator group of order p^3 with odd prime p
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math.RT
keywords
bilinearformsinvariantgrouporderprimealgebraicallyapplication
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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.
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