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

K. Prażmowski; M. Żynel

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arXiv · 1203.2662

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

K. Prażmowski·M. Żynel

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Abstract

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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K. Prażmowski, M. Żynel. 2012-03-12. Affine polar spaces derived from symplectic spaces, their geometry and representations: alternating semiforms. https://arxiv.org/abs/1203.2662

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