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

Let F be a field of characteristic = 2 and 3, let V be a F-vector space of dimension 6, and let ∈ ∧2V∗ be a non-degenerate form. A system of generators for polynomial invariant functions under the tensorial action of the group Sp() on ∧3V∗, is given explicitly. Applications of these results to the normal forms of De Bruyn-Kwiatkowski and Popov are given.

​Let F be a field of characteristic = 2 and 3, let V be a F-vector space of dimension 6, and let ∈ ∧2V∗ be a non-degenerate form. A system of generators for polynomial invariant functions under the tensorial action of the group Sp() on ∧3V∗, is given explicitly. Applications of these results to the normal forms of De Bruyn-Kwiatkowski and Popov are given. Read More

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