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Some incidence structures of maximal rank

Part of the Lecture Notes in Mathematics book series (LNM,volume 560)

Abstract

Generic algebra methods are used to translate combinatorial results about Weyl groups into statements about classical groups. A consequence is the maximal nature of the rank of the incidence matrix of isotropice-subspaces vs isotropic f-subspaces of a finite vector space V with a form F, in many cases.

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References

  1. N. Bourbaki, Groupes et algèbres de Lie, Chap. 4,5,6. (Herman, Paris, 1968).

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© 1976 Springer-Verlag

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Lehrer, G.I. (1976). Some incidence structures of maximal rank. In: Casse, L.R.A., Wallis, W.D. (eds) Combinatorial Mathematics IV. Lecture Notes in Mathematics, vol 560. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097374

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  • DOI: https://doi.org/10.1007/BFb0097374

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08053-4

  • Online ISBN: 978-3-540-37537-1

  • eBook Packages: Springer Book Archive