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Hyperplanes of dual polar spaces and the spin module

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References

  1. F. Buekenhout andC. Lefévre, Generalized quadrangles in projective spaces. Arch. Math.25, 540–552 (1974).

    Google Scholar 

  2. P. J. Cameron, Dual polar spaces. Geom. Dedicata12, 75–85 (1982).

    Google Scholar 

  3. P. J.Cameron. Personal Communication.

  4. B. N.Cooperstein and E. E.Shult, Geometric hyperplanes of Lie incidence geometries. To appear.

  5. B. N.Cooperstein and E. E.Shult, Geometric hyperplanes of embeddable Lie incidence geometries. In: Advances in Finite Geometries and Designs, Oxford 1991.

  6. K. J. Dienst, Verallgemeinerte Vierecke in projectiven Räumen. Arch. Math.45, 177–186 (1980).

    Google Scholar 

  7. A. Dress andR. Scharlau, Gated sets in metric spaces. Aequationes Math.34, 112–120 (1987).

    Google Scholar 

  8. C.Lefévre-Percsy, Polar spaces embedded in a projective space. In: Finite Geometries and Designs, London Math. Soc. Lecture Note Ser.49, Cambridge 1981.

  9. S. E.Payne and J. A.Thas, Finite Generalized Quadrangles. Boston-London-Melbourne 1984.

  10. M. A. Ronan, Embeddings and hyperplanes of discrete geometries. European J. Combin.8, 179–185 (1987).

    Google Scholar 

  11. M. A. Ronan andS. Smith, Sheaves on buildings and modular representations of Chevalley groups. J. Algebra96, 319–346 (1985).

    Google Scholar 

  12. E. E.Shult, Geometric hyperplanes of embeddable Grassmannians. To appear in J. Algebra.

  13. E. E.Shult, Geometric hyperplanes of the half-spin geometries arise from embeddings. Submitted.

  14. J.Tits, Buildings of Spherical Type and FiniteBN-Pairs. LNM389, Berlin-Heidelberg-New York 1974.

  15. O.Veblen and J. W.Young, Projective Geometry, Volume I, Blaisdell-New York-Toronto-London 1938.

  16. A. L. Wells. Universal projective embeddings of the Grassmannian, half-spinor and dual-orthogonal geometries. Quart. J. Math. Oxford Ser. 234, 375–386 (1983).

    Google Scholar 

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Author notes

  1. E. E. Shult

    Present address: Department of Mathematics, Kansas State University, 66502, Manhattan, KS, USA

  2. J. A. Thas

    Present address: Seminar of Geometry and Combinatorics, University of Ghent, Krijgslaan 281, 9000, Gent, Belgium

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    1. E. E. Shult
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    2. J. A. Thas
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    This work was partially supported by a grant from the U. S. National Science Foundation.

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    Shult, E.E., Thas, J.A. Hyperplanes of dual polar spaces and the spin module. Arch. Math 59, 610–623 (1992). https://doi.org/10.1007/BF01194855

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