Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
N. Allan, Hecke Rings of congruence subgroups, Bull. Amer. Math. Soc. vol. 74, #4(1972) 541–545.
Harish-Chandra and G. v. Dijk, Harmonic Analysis on Reductive p-adic groups, Lecture Notes in Math., 162(1970), Springer Verlag, New York.
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.
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.
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.
R. Langlands and H. Jacquet, Automorphic forms on G1(2), Lecture Notes in Math. vol. # 114,(1970), Springer Verlag, New York.
I. G. MacDonald, Spherical functions on a p-adic Chevalley group, Bull. Amer. Math. Soc., vol. 70(1968) 520–525.
M. Matsumoto, Sur les sous-groupes arithmetiques des groupes semisimple deployes, Ann. Scient. Ec. Norm. Sup. 4° serie, t.2, (1969)1–62.
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.
I. Satake, Theory of spherical functions on reductive algebraic groups over p-adic fields, Plub. Math. I.H.E.S., # 18 (1964), 5–69.
G. Shimura, Sur les integrales attachees aux formes automorphes, J. Math. Soc. of Japan, vol 11 (1959), 291–311.
A. Silberger, PG12 over the p-adics, Lecture Notes in Math., vol. 166 (1970), Springer Verlag, New York.
T. Tamagawa, On the ξ-function of a division algebra, Ann. of Math. vol 77 (1963), 387–405.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1973 Springer Verlag
About this paper
Cite this paper
Allan, N.D. (1973). On the structure of hecke algebras. In: Gatterdam, R.W., Weston, K.W. (eds) Conference on Group Theory. Lecture Notes in Mathematics, vol 319. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058923
Download citation
DOI: https://doi.org/10.1007/BFb0058923
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06205-9
Online ISBN: 978-3-540-38479-3
eBook Packages: Springer Book Archive