The study of orthogonal Lie algebras is close to the study of trilinear alternate forms. Here, we show that the classification of 2-stepnilpotent orthogonal Lie algebras reduces to the classification of trilinear alternate forms. In a similar way, simple Lie algebras of dimension 8 help classifying orbits of trilinear forms of rank 8. Results presented here are taken from the first author's doctoral thesis. Some undefined terms can be found in references [6], [7] and [8].
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