Geodesic
A Note on Lax Projective Embeddings of Grassmann Spaces
Rendiconto della Accademia delle scienze fisiche e matematiche, Série 4, Tome 85 (2018) no. 1, pp. 5-7 
Ferrara Dentice, Eva. A Note on Lax Projective Embeddings of Grassmann Spaces. Rendiconto della Accademia delle scienze fisiche e matematiche, Série 4, Tome 85 (2018) no. 1, pp. 5-7. http://geodesic.mathdoc.fr/item/RASFM_2018_4_85_1_a0/
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     title = {A {Note} on {Lax} {Projective} {Embeddings} of {Grassmann} {Spaces}},
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Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In the paper (Ferrara Dentice et al., 2004) a complete exposition of the state of the art for lax embeddings of polar spaces of finite rank $\ge 3$ is presented. As a consequence, we have that if a Grassmann space $G$ of dimension 3 and index 1 has a lax embedding in a projective space over a skew–field $K$, then $G$ is the Klein quadric defined over a subfield of $K$. In this paper, I examine Grassmann spaces of arbitrary dimension $d \ge 3$ and index $h \ge 1$ having a lax embedding in a projective space.