Skip to main content
Log in

On eigenspaces of the Hecke algebra with respect to a good maximal compact subgroup of ap-adic reductive group

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Borel, A.: Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. Invent. Math.35, 223–259 (1976)

    Google Scholar 

  2. Bruhat, F., Tits, J.: Groupes réductifs sur un corps local. Chap. I. Publ. Math. I.H.E.S.41, 1–251 (1972)

    Google Scholar 

  3. Kashiwara, M., Kowata, A., Minemura, K., Okamoto, K., Oshima, T., Tanaka, M.: Eigenfunctions of invariant differential operators on a symmetric space. Ann. Math.107, 1–39 (1978)

    Google Scholar 

  4. Macdonald, I.G.: Spherical functions on a group ofp-adic type. Publ. Ramanujan Institute. No. 2. Madras (1971)

  5. Matsumoto, H.: Analyse harmonique dans les systèmes de Tits bornologiques de type affine. Lecture Notes in Mathematics, Vol. 590. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  6. Satake, I.: Theory of spherical functions on reductive algebraic groups overp-adic fields. Publ. Math. I.H.E.S.18, 5–69 (1963)

    Google Scholar 

  7. Steinberg, R.: Differential equations invariant under finite reflection groups. Trans. Am. Math. Soc.112, 392–400 (1964)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kato, Si. On eigenspaces of the Hecke algebra with respect to a good maximal compact subgroup of ap-adic reductive group. Math. Ann. 257, 1–7 (1981). https://doi.org/10.1007/BF01450650

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01450650

Keywords

Navigation