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Embedded metasymplectic spaces of type \(\mathsf{F_{4,4}}\)
Published Web Location
https://doi.org/10.5070/C6.69924Abstract
We determine the generating and embedding rank of the metasymplectic spaces whose symplecta are either symplectic polar spaces in characteristic distinct from \(2\), or Hermitian polar spaces (including the quaternion case), and provide a characterisation of the associated projective varieties in the context of the Freudenthal-Tits magic square.
Mathematics Subject Classifications: 51E24, 51B25, 20E42
Keywords: Metasymplectic space, embedding, Freudenthal-Tits magic square