Abstract
Abstract The long-root geometries of symplectic rank at least three are the polar Grassmannians of lines, the metasymplectic spaces, and three Lie incidence geometries of exceptional Lie type. These geometries were characterized as a class of parapolar spaces of symplectic rank at least three satisfying four axioms (see Theorem 1 below). In this note, it is shown that one can dispense with two of the axioms, if one adds to the set of conclusion geometries all strong parapolar spaces of point-diameter 2 for which x ⊥ ∩ S is never a point for any point-symplecton pair (x, S). Connections with root filtration spaces are discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
