A new look at the classification of the tri-covectors of a 6-dimensional symplectic space

AbstractLet be a field of characteristic and 3, let V be a -vector space of dimension 6, and let be a non-degenerate form. A system of generators for polynomial invariant functions under the tensorial action of the group on , is given explicitly. Applications of these results to the normal forms of De Bruyn-Kwiatkowski and Popov are given.