Proceedings of the Japan Academy

On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields

Takuro Shintani

Full-text: Open access

Article information

Source
Proc. Japan Acad. Volume 52, Number 4 (1976), 180-182.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
http://projecteuclid.org/euclid.pja/1195518347

Mathematical Reviews number (MathSciNet)
MR0407208

Zentralblatt MATH identifier
0387.43002

Digital Object Identifier
doi:10.3792/pja/1195518347

Citation

Shintani, Takuro. On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields. Proc. Japan Acad. 52 (1976), no. 4, 180--182. doi:10.3792/pja/1195518347. http://projecteuclid.org/euclid.pja/1195518347.


Export citation

References

  • [1] Iwahori-Matsumoto: On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups. Publ. Math. I. H. E. S. NA 25.
  • [2] H. Jacquet: Fonctions de Whittaker associees aux groupes de Chevalley. Bull. Soc. Math. France, 95, 243-309 (1967).
  • [3] J. Shalika: The multiplicity one theorem for GLn. Ann. Math., 100, 171- 193 (1974).
  • [4] T. Tamagawa: On the zeta function of a division algebra. Ann. Math., 77, 387-405 (1963).
  • [5] H. Weyl: Classical Groups.