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Manuscripta Mathematica

, Volume 136, Issue 1–2, pp 199–236 | Cite as

On p-adic norms and quadratic extensions, II

  • Christophe CornutEmail author
Article
  • 56 Downloads

Abstract

We investigate the graph theoretical aspects and combinatorics of the action of a unitary group in n variables over a local non-archimedian field on the Bruhat-Tits building of an orthogonal group in 2n + 1 variables.

Mathematics Subject Classification (2000)

20G25 11E08 20E42 

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References

  1. 1.
    Brouwer, A.E., Cohen, A.M., Neumaier, A.: Distance-regular graphs. Ergebnisse der Mathematik und ihrer Grenzgebiete, 3 Folge, Band 18. Springer-Verlag, Heidelberg (1989)Google Scholar
  2. 2.
    Cornut C.: Normes p-adiques et extensions quadratiques. Ann. Inst. Fourier (Grenoble) 59(6), 2223–2254 (2008)MathSciNetGoogle Scholar
  3. 3.
    Gross, B.H.: Heegner points and representation theory. Heegner points and Rankin L-series, vol. 49, pp. 37–65. Math. Sci. Res. Inst. Publ., Cambridge University Press, Cambridge (2004)Google Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.CNRS—Institut de Mathématiques de JussieuParis Cedex 05France

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