In this paper, a generalization of a well-known result of Cohen and Cooperstein on
strong parapolar spaces of symplectic rank at least three, with only finite-dimensional
singular subspaces, is presented. In contrast with the aforementioned theorem, we do
not assume that symplecta posses a uniform symplectic rank, we drop the
assumption that the considered spaces are strong parapolar spaces, and we replace
axiom (CC) by the much more general “haircut axiom."
Keywords
building, exceptional geometry, Grassmann space, haircut
axiom, parapolar space
