Linear orbits of alternating forms on real vector spaces

Leonid Ryvkin

In this note we complete the calculation of the number of $GL({\mathbb{R}}^n)$-orbits on ${\Lambda }^k({\mathbb{R}}^n{)}^{\ast }$, by treating the cases $(n,k)=(7,4)$ and $(8,5)$ not covered in the lite…