Maps from Grassmannians of 2-planes to projective spaces

Ricardo Brasil, Ana Cristina Ferreira, Lucile Vandembroucq

Using quaternions and octonions, we construct some maps from the Grassmannian of 2-dimensional planes of ${\mathbb{R}}^n$, ${\mathrm{Gr}}_2({\mathbb{R}}^n)$, to the projective space $\ma…