Parapolar spaces of infinite rank

P. Jansen, H. Van Maldeghem

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. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16(4) (2023), pp. 191-203