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Projective embeddings of dual polar spaces arising from a class of alternative division rings

✍ Scribed by De Bruyn, Bart; Van Maldeghem, Hendrik

Book ID: 123566453
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 159 KB
Volume: 40
Category: Article
ISSN: 1571-0653
DOI: 10.1016/j.endm.2013.05.019

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Let n (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 n (q) gives rise to a hyperplane of the Hermitian dual polar space DH (2n -1, q 2 ). In this way we obtain two new classes of hyperplanes of DH (2n -1, 4) which do