Irreducible lengths of trivectors of rank seven and eight
R. Westwick · Pacific Journal of Mathematics · 1979
We determine the irreducible length of complex trivectors of rank less than or equal to eight.The irreducible length is invariant under the action induced by the general linear group on the underlying complex vector space.A classification under this action is available where representatives are explicitly given for each equivalence class and it is the lengths of these representatives which are determined.