On the incidence structures of polar spaces and quadrics.
A Note on Lax Projective Embeddings of Grassmann Spaces
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 is presented. As a consequence, we have that if a Grassmann space of dimension 3 and index 1 has a lax embedding in a projective space over a skew–field , then is the Klein quadric defined over a subfield of . In this paper, I examine Grassmann spaces of arbitrary dimension and index having a lax embedding in a projective space.
Sugli isomorfismi tra spazi di Grassman
In this paper we prove that any incidence-preserving bijection between the line sets of Grassmann spaces is induced by either a collineation or a correlation.
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