p -adic norms and quadratic extensions

Christophe Cornut[1]

  • [1] Université Paris 7 Denis Diderot Institut de Mathématiques de Jussieu Case Postale 7012 2, place Jussieu 75251 PARIS CEDEX 05 (France)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 6, page 2223-2254
  • ISSN: 0373-0956

Abstract

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We classify the orbits of H on the Bruhat-Tits building of G for three spherical pairs ( G , H ) of classical p -adic groups.

How to cite

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Cornut, Christophe. "Normes $p$-adiques et extensions quadratiques." Annales de l’institut Fourier 59.6 (2009): 2223-2254. <http://eudml.org/doc/10453>.

@article{Cornut2009,
abstract = {On classifie les orbites de $H$ sur l’immeuble de Bruhat-Tits de $G$ pour trois paires sphériques $(G,H)$ de groupes $p$-adiques classiques.},
affiliation = {Université Paris 7 Denis Diderot Institut de Mathématiques de Jussieu Case Postale 7012 2, place Jussieu 75251 PARIS CEDEX 05 (France)},
author = {Cornut, Christophe},
journal = {Annales de l’institut Fourier},
keywords = {$p$-adic norms; quadratic extensions; spherical pairs},
language = {fre},
number = {6},
pages = {2223-2254},
publisher = {Association des Annales de l’institut Fourier},
title = {Normes $p$-adiques et extensions quadratiques},
url = {http://eudml.org/doc/10453},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Cornut, Christophe
TI - Normes $p$-adiques et extensions quadratiques
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 6
SP - 2223
EP - 2254
AB - On classifie les orbites de $H$ sur l’immeuble de Bruhat-Tits de $G$ pour trois paires sphériques $(G,H)$ de groupes $p$-adiques classiques.
LA - fre
KW - $p$-adic norms; quadratic extensions; spherical pairs
UR - http://eudml.org/doc/10453
ER -

References

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  1. Hyman Bass, On the ubiquity of Gorenstein rings, Math. Z. 82 (1963), 8-28 Zbl0112.26604MR153708
  2. F. Bruhat, J. Tits, Schémas en groupes et immeubles des groupes classiques sur un corps local, Bull. Soc. Math. France 112 (1984), 259-301 Zbl0565.14028MR788969
  3. F. Bruhat, J. Tits, Schémas en groupes et immeubles des groupes classiques sur un corps local. II. Groupes unitaires, Bull. Soc. Math. France 115 (1987), 141-195 Zbl0636.20027MR919421
  4. P. Delorme, V. Secherre, An analogue of the Cartan decomposition for p -adic reductive symmetric spaces Zbl1220.22003
  5. O. Goldman, N. Iwahori, The space of 𝔭 -adic norms, Acta Math. 109 (1963), 137-177 Zbl0133.29402MR144889
  6. Yiannis Sakellaridis, On the unramified spectrum of spherical varieties over p -adic fields, Compos. Math. 144 (2008), 978-1016 Zbl1167.22011MR2441254
  7. J.-P. Serre, Complex multiplication, Algebraic Number Theory (Proc. Instructional Conf., Brighton, 1965) (1967), 292-296, Thompson, Washington, D.C. MR244199

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