Article ID Journal Published Year Pages File Type
4602335 Linear Algebra and its Applications 2008 16 Pages PDF
Abstract

Let Γn(q) denote the geometry of the hyperbolic lines of the symplectic polar space W(2n-1,q),n⩾2. We show that every hyperplane of Γn(q) gives rise to a hyperplane of the Hermitian dual polar space DH(2n-1,q2). In this way we obtain two new classes of hyperplanes of DH(2n-1,4) which do not arise from the Grassmann embedding of DH(2n-1,4).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory