Un exercice sur G S p ( 4 , F ) et les représentations de Weil

J.-L. Waldspurger

Bulletin de la Société Mathématique de France (1987)

  • Volume: 115, page 35-69
  • ISSN: 0037-9484

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Waldspurger, J.-L.. "Un exercice sur $GSp(4,F)$ et les représentations de Weil." Bulletin de la Société Mathématique de France 115 (1987): 35-69. <http://eudml.org/doc/87537>.

@article{Waldspurger1987,
author = {Waldspurger, J.-L.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {dual reductive pair; split quadratic form; non archimedean local field; Weil representation; irreducible representations},
language = {fre},
pages = {35-69},
publisher = {Société mathématique de France},
title = {Un exercice sur $GSp(4,F)$ et les représentations de Weil},
url = {http://eudml.org/doc/87537},
volume = {115},
year = {1987},
}

TY - JOUR
AU - Waldspurger, J.-L.
TI - Un exercice sur $GSp(4,F)$ et les représentations de Weil
JO - Bulletin de la Société Mathématique de France
PY - 1987
PB - Société mathématique de France
VL - 115
SP - 35
EP - 69
LA - fre
KW - dual reductive pair; split quadratic form; non archimedean local field; Weil representation; irreducible representations
UR - http://eudml.org/doc/87537
ER -

References

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  1. [B] BERNSTEIN (J.). — Le centre de Bernstein, in BERNSTEIN (J.), DELIGNE (P.), KAZHDAN (D.) et VIGNERAS (M.F.), Représentations des groupes réductifs sur un corps local, Hermann, Travaux en cours, 1984. Zbl0599.22016MR86e:22028
  2. [BZ] BERNSTEIN (J.) and ZELEVINSKI (A. V.). — Representations of the group GL (n, F) where F is a non archimedean local field, Russian Math. Surveys, vol. 31, 1976, p. 1-68. Zbl0348.43007
  3. [K] KUDLA (S.), On the local thêta-correspondence, preprint. Zbl0583.22010
  4. [R] RALLIS (S.). — On the Howe duality conjecture, Comp. Math., vol. 51, 1984, p. 333-399. Zbl0624.22011MR85g:22034
  5. [Sha 1] SHAHIDI (F.). — On certain L-functions, Amer. J. of Math., vol. 103, 1981, p. 297-355. Zbl0467.12013MR82i:10030
  6. [Sha 2] SHAHIDI (F.). — Local coefficients and normalization of intertwining operators for GL(n), Comp. Math., vol. 48, 1983, p. 271-295. Zbl0506.22020MR85a:22027
  7. [Shim] SHIMIZU (H.). — Thêta series and automorphic forms on GL(2), Journal Math. Soc. of Japan, vol. 24, 1972, p. 638-683. Zbl0241.10016MR48 #11406
  8. [V] VIGNERAS (M.-F.). — Correspondances entre représentations automorphes de GL(2) sur une extension quadratique et de GSp(4) sur Q, conjecture locale de Langlands pour GSp(4), preprint 1985. 
  9. [Z] ZELEVINSKI (A. V.). — Induced representations of reductive p-adic groups II. On irreductible representations of GL(n). Ann. scient. Ec. Norm. Sup., vol. 13, 1980, p. 165-210. Zbl0441.22014

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