On exceptional Lie geometries
Combinatorics
2021-01-13 v1
Abstract
Parapolar spaces are point-line geometries introduced as a geometric approach to (exceptional) algebraic groups. We characterize a wide class of Lie geometries as parapolar spaces satisfying a simple intersection property. In particular many of the exceptional Lie incidence geometries occur. {In an appendix, we extend our result to the locally disconnected case and discuss the locally disconnected case of some other well known characterizations.
Cite
@article{arxiv.2012.11277,
title = {On exceptional Lie geometries},
author = {Anneleen De Schepper and Jeroen Schillewaert and Hendrik Van Maldeghem and Magali Victoor},
journal= {arXiv preprint arXiv:2012.11277},
year = {2021}
}
Comments
29 pages, to appear in Forum of Math. Sigma