Polarized and homogeneous embeddings of dual polar spaces

Authors:
R. J. Blok;I. Cardinali;B. De Bruyn;A. Pasini
Affiliations:
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH;Information Engineering Department, University of Siena, Siena, Italy;Department of Pure Mathematics and Computer Algebra, Ghent University, Gent, Belgium;Department of Mathematics, University of Siena, Siena, Italy
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2009

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Abstract

Let Γ be the dual of a classical polar space and let e be a projective embedding of Γ, defined over a commutative division ring. We shall prove that, if e is homogeneous, then it is polarized.