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On p-adic norms and quadratic extensions, II

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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.

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References

  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)

  2. Cornut C.: Normes p-adiques et extensions quadratiques. Ann. Inst. Fourier (Grenoble) 59(6), 2223–2254 (2008)

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  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)

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  1. CNRS—Institut de Mathématiques de Jussieu, 4, place Jussieu, 75252, Paris Cedex 05, France

    Christophe Cornut

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  1. Christophe Cornut
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Correspondence to Christophe Cornut.

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Cornut, C. On p-adic norms and quadratic extensions, II. manuscripta math. 136, 199–236 (2011). https://doi.org/10.1007/s00229-011-0442-0

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  • DOI: https://doi.org/10.1007/s00229-011-0442-0

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