Affine polar spaces derived from symplectic spaces, their geometry and representations: alternating semiforms

Mathematics – Metric Geometry

Scientific paper

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Scientific paper

Deleting a hyperplane from a polar space associated with a symplectic
polarity we get a specific, symplectic, affine polar space. Similar geometry,
called an \afsempol\ arises as a result of generalization of the notion of an
alternating form to a semiform. Some properties of these two geometries are
given and their automorphism groups are characterized.

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