ORTHOGONAL LIE-ALGEBRAS AND TRILINEAR ALT ERNATE FORMS

The study of orthogonal Lie algebras is close to the study of trilinea r alternate forms. Here, we show that the classification of 2-step nil potent orthogonal Lie algebras reduces to the classification of trilin ear alternate forms. In a similar way, simple Lie algebras of dimensio n 8 help classifying orbits of trilinear forms of rank 8. Results pres ented here are taken from the first author's doctoral thesis. Some und efined terms can be found in references [6], [7] and [8].