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A Note on Lax Projective Embeddings of Grassmann Spaces

Eva Ferrara Dentice — 2018

Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche

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 ≥ 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 ≥ 3 and index h ≥ 1 having a lax embedding in a projective space.

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