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

Jaime Muñoz Masqué, Luis Miguel Pozo Coronado

Let $\mathbb{F}$ be a field of characteristic $\ne 2$ and $3$, let $V$ be a $\mathbb{F}$-vector space of dimension $6$, and let $\Omega \in {\wedge }^2{V}^{\ast }$ be a non-degenerate form. A…