December 2023 Parapolar spaces of infinite rank
Paulien Jansen, Hendrik Van Maldeghem
Adv. Studies: Euro-Tbilisi Math. J. 16(4): 191-203 (December 2023). DOI: 10.32513/asetmj/193220082341

Abstract

We show that in many classical characterization theorems involving parapolar spaces, we can lift the assumption of having only symplecta of finite rank. At the same time, we present an example of a parapolar space of infinite symplectic rank which shows that this is not possible in all characterizations.

Funding Statement

The first author is supported by FWO Flanders and the L'Oreal-UNESCO "For Women in Science" program.

Acknowledgments

The authors are grateful to the referee for pointing out some small inaccuracies.

Citation

Download Citation

Paulien Jansen. Hendrik Van Maldeghem. "Parapolar spaces of infinite rank." Adv. Studies: Euro-Tbilisi Math. J. 16 (4) 191 - 203, December 2023. https://doi.org/10.32513/asetmj/193220082341

Information

Received: 11 April 2023; Accepted: 2 November 2023; Published: December 2023
First available in Project Euclid: 3 January 2024

Digital Object Identifier: 10.32513/asetmj/193220082341

Subjects:
Primary: 51E24

Keywords: parapolar spaces , polar spaces , spherical buildings

Rights: Copyright © 2023 Tbilisi Centre for Mathematical Sciences

JOURNAL ARTICLE
13 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.16 • No. 4 • September 2023
Back to Top