On the structure of hecke algebras

  • Nelo D. Allan
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 319)


Division Algebra Eisenstein Series Chevalley Group Congruence Subgroup Open Compact Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1-.
    N. Allan, Hecke Rings of congruence subgroups, Bull. Amer. Math. Soc. vol. 74, #4(1972) 541–545.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2-.
    Harish-Chandra and G. v. Dijk, Harmonic Analysis on Reductive p-adic groups, Lecture Notes in Math., 162(1970), Springer Verlag, New York.zbMATHGoogle Scholar
  3. 3-.
    N. Iwahori, On the Structure of a Hecke ring of a Chevalley group over a finite field, J. Fac. of Sci. Univ. Tokyo, vol. 10(1964) 215–236.MathSciNetzbMATHGoogle Scholar
  4. 4-.
    N. Iwahori, Generalized Tits System on p-adic Semisimple Groups, Proc. Symp. in Pure Math., vol. IX,(1966), 71–83, Amer. Math. Soc. Providence, R.I.MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5-.
    N. Iwahori and M. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of the p-adic Chevalley groups, Publ. Math. I.H.E.S., # 25(1965), 5–48.MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6-.
    R. Langlands and H. Jacquet, Automorphic forms on G1(2), Lecture Notes in Math. vol. # 114,(1970), Springer Verlag, New York.zbMATHGoogle Scholar
  7. 7-.
    I. G. MacDonald, Spherical functions on a p-adic Chevalley group, Bull. Amer. Math. Soc., vol. 70(1968) 520–525.MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8-.
    M. Matsumoto, Sur les sous-groupes arithmetiques des groupes semisimple deployes, Ann. Scient. Ec. Norm. Sup. 4° serie, t.2, (1969)1–62.zbMATHGoogle Scholar
  9. 9-.
    P. Sally and J. Shalika, Characters of the discrete series of representations of S1(2) over a local field, Proc. Nat. Acad. Sc. U.S.A. vol 61 (1968), 1231–1237.MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10-.
    I. Satake, Theory of spherical functions on reductive algebraic groups over p-adic fields, Plub. Math. I.H.E.S., # 18 (1964), 5–69.MathSciNetGoogle Scholar
  11. 11-.
    G. Shimura, Sur les integrales attachees aux formes automorphes, J. Math. Soc. of Japan, vol 11 (1959), 291–311.MathSciNetCrossRefGoogle Scholar
  12. 12-.
    A. Silberger, PG12 over the p-adics, Lecture Notes in Math., vol. 166 (1970), Springer Verlag, New York.zbMATHGoogle Scholar
  13. 13-.
    T. Tamagawa, On the ξ-function of a division algebra, Ann. of Math. vol 77 (1963), 387–405.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer Verlag 1973

Authors and Affiliations

  • Nelo D. Allan
    • 1
  1. 1.University of Wisconsin-ParksideUSA

Personalised recommendations