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.
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