The unramified principal series of -adic groups. II. The Whittaker function
Compositio Mathematica (1980)
- Volume: 41, Issue: 2, page 207-231
- ISSN: 0010-437X
Access Full Article
top
How to cite
topCasselman, W., and Shalika, J.. "The unramified principal series of $p$-adic groups. II. The Whittaker function." Compositio Mathematica 41.2 (1980): 207-231. <http://eudml.org/doc/89456>.
@article{Casselman1980,
author = {Casselman, W., Shalika, J.},
journal = {Compositio Mathematica},
keywords = {Macdonald's formula; zonal spherical functions on p-adic reductive group; Whittaker function; unramified principal series representation; Whittaker model; unipotent radical; parabolic subgroup; supercuspidal representation},
language = {eng},
number = {2},
pages = {207-231},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {The unramified principal series of $p$-adic groups. II. The Whittaker function},
url = {http://eudml.org/doc/89456},
volume = {41},
year = {1980},
}
TY - JOUR
AU - Casselman, W.
AU - Shalika, J.
TI - The unramified principal series of $p$-adic groups. II. The Whittaker function
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 41
IS - 2
SP - 207
EP - 231
LA - eng
KW - Macdonald's formula; zonal spherical functions on p-adic reductive group; Whittaker function; unramified principal series representation; Whittaker model; unipotent radical; parabolic subgroup; supercuspidal representation
UR - http://eudml.org/doc/89456
ER -
References
top- [1] I.N. Bernstein and A.V. Zelevinskii: Representations of the group GL(n, F). Uspekhi Math. NaukXXXI (1976) 5-70. Zbl0342.43017
- [2] W. Casselman, Introduction to the theory of admissible representations of P-adic groups (to appear). Zbl0472.22004
- [3] W. Casselman: The unramified principal series of P-adic groups I. The spherical function. Comp. Math. (1980). Zbl0472.22004MR571057
- [4] N. Iwahori and H. Matsumoto: On some Bruhat decomposition...., Publ. Math. I.H.E.S.25 (1965), 5-48. Zbl0228.20015
- [5] H. Jacquet, Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math. France95 (1967), 243-309. Zbl0155.05901MR271275
- [6] F. Rodier, Whittaker models for admissible representations of reductive P-adic split groups, in Harmonic Analysis on Homogeneous Spaces, Proc. Symp. Pure Math.XXVI, Amer. Math. Soc., 1973. Zbl0287.22016MR354942
- [7] F. Shahidi, The functional equation satisfied by certain L-functions, Comp. Math.37 (1978), 171-208. Zbl0393.12017MR498494
- [8] T. Shintani, On an explicit formula for class 1 Whittaker functions on GLn over P-adic fields, Proc. Japan Acad.52 (1976), 180-182. Zbl0387.43002MR407208
- [9] S-i. Kato, On an explicit formula for class one Whittaker functions on classical groups over P-adic fields, preprint, Tokyo, 1978.
Citations in EuDML Documents
top- Freydoon Shahidi, Local coefficients and normalization of intertwining operators for
- S. J. Patterson, Metaplectic forms and Gauss sums I
- Atsushi Murase, Takashi Sugano, Whittaker-Shintani functions on the symplectic group of Fourier-Jacobi type
- Patrick Delorme, Formule de Plancherel pour les fonctions de Whittaker sur un groupe réductif -adique
- Yuval Z. Flicker, Twisted tensors and Euler products
- David Ginzburg, Stephen Rallis, David Soudry, -functions for symplectic groups
- Hervé Jacquet, Kloosterman identities over a quadratic extension II
- Jing-Song Huang, Metaplectic correspondences and unitary representations
- Hervé Jacquet, Stephen Rallis, Uniqueness of linear periods
- Mark Reeder, -adic Whittaker functions and vector bundles on flag manifolds
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.