Theory of spherical functions on reductive algebraic groups over p -adic fields

Ichiro Satake

Publications Mathématiques de l'IHÉS (1963)

  • Volume: 18, page 5-69
  • ISSN: 0073-8301

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Satake, Ichiro. "Theory of spherical functions on reductive algebraic groups over $p$-adic fields." Publications Mathématiques de l'IHÉS 18 (1963): 5-69. <http://eudml.org/doc/103838>.

@article{Satake1963,
author = {Satake, Ichiro},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {group theory},
language = {eng},
pages = {5-69},
publisher = {Institut des Hautes Études Scientifiques},
title = {Theory of spherical functions on reductive algebraic groups over $p$-adic fields},
url = {http://eudml.org/doc/103838},
volume = {18},
year = {1963},
}

TY - JOUR
AU - Satake, Ichiro
TI - Theory of spherical functions on reductive algebraic groups over $p$-adic fields
JO - Publications Mathématiques de l'IHÉS
PY - 1963
PB - Institut des Hautes Études Scientifiques
VL - 18
SP - 5
EP - 69
LA - eng
KW - group theory
UR - http://eudml.org/doc/103838
ER -

References

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  2. [2] N. BOURBAKI, Éléments de Mathématique, Livre II : Algèbre, chap. 9, " Formes sesquilinéaires et formes quadratiques ", Hermann, Paris, 1959. Zbl0102.25503MR86j:13001
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  5. [6] C. CHEVALLEY, L'arithmétique dans les algèbres de matrices, Actualités Sci. et Ind., n° 323, Hermann, Paris, 1936. Zbl0014.29006JFM62.0102.01
  6. [7] C. CHEVALLEY, Théorie des groupes de Lie, III, Hermann, Paris, 1955. Zbl0068.02102
  7. [8] J. DIEUDONNÉ, La géométrie des groupes classiques, Ergebnisse der Math. und ihre Grenzgebiete, Springer, Berlin, 1955. Zbl0067.26104MR17,236a
  8. [9] M. EICHLER, Quadratische Formen und orthogonale Gruppe, Springer, Berlin-Göttingen-Heidelberg, 1952. Zbl0049.31106MR14,540a
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  11. [12] R. GODEMENT, Groupes linéaires algébriques sur un corps parfait, Séminaire Bourbaki, 1960-1961, n° 206. Zbl0119.27206
  12. [13-14] HARISH-CHANDRA, Spherical functions on a semisimple Lie group, I, II, Amer. J. Math., vol. 80 (1958), pp. 241-310, 553-613. Zbl0093.12801MR21 #92
  13. [15] T. HONDA, Isogenies, rational points and section points of group varieties, Japanese J. of Math., vol. 30 (1960), pp. 84-101. Zbl0109.39602MR27 #5762
  14. [16] S. LANG, Introduction to algebraic geometry, Interscience Publishers, New York, 1958. Zbl0095.15301MR20 #7021
  15. [17] F. I. MAUTNER, Spherical functions over p-adic fields, Amer. J. Math., vol. 80 (1958), pp. 441-457. Zbl0092.12501MR20 #82
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  17. [19] I. SATAKE, On spherical functions over p-adic fields, Proc. Japan Acad., vol. 38 (1962), pp. 422-425. Zbl0116.02303MR27 #3640
  18. [20] I. SATAKE, On the theory of reductive algebraic groups over a perfect fields, to appear in J. Math. Soc. Japan, vol. 15 (1963). Zbl0123.25201MR27 #1438
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Citations in EuDML Documents

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  2. Ferdaous Kellil, Guy Rousseau, Opérateurs invariants sur certains immeubles affines de rang 2
  3. Vadim Schechtman, Dualité de Langlands quantique
  4. Francis M. Choucroun, Analyse harmonique des groupes d'automorphismes d'arbres de Bruhat-Tits
  5. G. Van Dijk, Harmonic analysis on reductive p -adic groups
  6. Paul Gérardin, Changement du corps de base pour les représentations de G L ( 2 )
  7. Giovanni Cimatti, Functional Solutions for a Plane Problem in Magnetohydrodynamics
  8. François Bruhat, Sur une classe de sous-groupes de Chevalley sur un corps p -adique
  9. Atsushi Murase, Takashi Sugano, Whittaker-Shintani functions on the symplectic group of Fourier-Jacobi type
  10. François Bruhat, Sous-groupes compacts maximaux des groupes semi-simples p -adiques

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