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On some bruhat decomposition and the structure of the hecke rings of p-Adic chevalley groups

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References

  1. A. Borel andJ. de Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie clos,Comm. Math. Helv., 23 (1949), 200–221.

    Article  MATH  Google Scholar 

  2. R. Bott, An application of the Morse theory to the topology of Lie groups,Bull. Soc. Math. France, 84 (1956), 251–282.

    MATH  MathSciNet  Google Scholar 

  3. F. Bruhat, Sur les représentations des groupes classiques p-adiques, I, II,Amer. J. Math., 83 (1961), 321–338, 343–368.

    Article  MathSciNet  Google Scholar 

  4. F. Bruhat, Sur les sous-groupes compacts maximaux des groupes semi-simples p-adiques,Colloque sur la théorie des groupes algébriques, Bruxelles (1962), 69–76.

  5. F. Cartan, La géométrie des groupes simples,Ann. Mat. Pur. Appl., 4 (1927), 209–256.

    Article  MathSciNet  Google Scholar 

  6. C. Chevalley, Sur certains groupes simples,Tôhoku Math. J., 7 (1955), 14–66.

    MATH  MathSciNet  Google Scholar 

  7. O. Goldman andN. Iwahori, The spaces of p-adic norms,Acta Math., 109 (1963), 137–177.

    Article  MATH  MathSciNet  Google Scholar 

  8. O. Goldman andN. Iwahori,On the structure of Hecke rings associated to general linear groups over p-adic fields, to appear.

  9. H. Hijikata,Maximal invariant orders of an involutive algebra over a local field, to appear.

  10. N. Iwahori, On the structure of a Hecke ring of a Chevalley group over a finite field, to appear, inJ. Faculty of Sci., Univ. of Tokyo, 10 (1964).

  11. T. Ono, Sur les groupes de Chevalley,J. Math. Soc. Japan, 10 (1958), 307–313.

    Article  MATH  MathSciNet  Google Scholar 

  12. I. Satake, On spherical functions over p-adic fields,Proc. Japan Academy, 38 (1962), 422–425.

    Article  MATH  MathSciNet  Google Scholar 

  13. Séminaire «Sophus Lie », Paris, 1954–1955.

  14. E. Stiefel, Über eine Beziehung zwischen geschlossenen Lieschen Gruppen und diskontinuierlichen Bewegungsgruppen euklidischer Räume und ihre Anwendung auf die Aufzählung der einfachen Lie’schen Gruppen,Comm. Math. Helv., 14 (1941), 350–379.

    Article  MathSciNet  Google Scholar 

  15. T. Tamagawa, On the ζ-functions of a division algebra,Ann. of Math., 77 (1963), 387–405.

    Article  MathSciNet  Google Scholar 

  16. J. Tits, Théorème de Bruhat et sous-groupes paraboliques,C. R. Paris, 254 (1962), 2910–2912.

    MATH  MathSciNet  Google Scholar 

Added in Proof. For an abstract approach to Prop. 1. 15 and its consequences see

  1. Added in Proof. For an abstract approach to Prop. 1. 15 and its consequences seeH. Matsumoto,Générateurs et relations des groupes de Weyl généralisés, to appear.

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Authors
  1. N. Iwahori
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  2. H. Matsumoto
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Iwahori, N., Matsumoto, H. On some bruhat decomposition and the structure of the hecke rings of p-Adic chevalley groups. Publications Mathématiques de L’Institut des Hautes Scientifiques 25, 5–48 (1965). https://doi.org/10.1007/BF02684396

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