Affine polar spaces derived from symplectic spaces, their geometry and representations: alternating semiforms
Metric Geometry
2012-03-14 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.1203.2662,
title = {Affine polar spaces derived from symplectic spaces, their geometry and representations: alternating semiforms},
author = {K. Prażmowski and M. Żynel},
journal= {arXiv preprint arXiv:1203.2662},
year = {2012}
}