Dominant lax embeddings of polar spaces
نویسندگان
چکیده
منابع مشابه
Embeddings of polar spaces
In this article, two different notions of embeddings of polar spaces are compared. By using existing results in the field, a statement for a Fundamental Theorem of Polar Geometry is then obtained.
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Given polar spaces (V, β) and (V, Q) where V is a vector space over a field K, β a reflexive sesquilinear form and Q a quadratic form, we have associated classical isometry groups. Given a subfield F of K and an F -linear function L : K → F we can define new spaces (V, Lβ) and (V, LQ) which are polar spaces over F . The construction so described gives an embedding of the isometry groups of (V, ...
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An embedding of a point-line geometry Γ is usually defined as an injective mapping ε from the point-set of Γ to the set of points of a projective space such that ε(l) is a projective line for every line l of Γ. However, different situations are considered in the literature, where ε(l) is allowed to be a subline of a projective line or a curve. In this paper we propose a more general definition ...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2006
ISSN: 1370-1444
DOI: 10.36045/bbms/1136902622