Représentation de Weil et changement de base quadratique

Michel Cognet

Bulletin de la Société Mathématique de France (1985)

  • Volume: 113, page 403-457
  • ISSN: 0037-9484

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Cognet, Michel. "Représentation de Weil et changement de base quadratique." Bulletin de la Société Mathématique de France 113 (1985): 403-457. <http://eudml.org/doc/87496>.

@article{Cognet1985,
author = {Cognet, Michel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {metaplectic covering; non-Archimedean local field; Weil representations; Langlands base change; dual reductive pair; integral formula},
language = {fre},
pages = {403-457},
publisher = {Société mathématique de France},
title = {Représentation de Weil et changement de base quadratique},
url = {http://eudml.org/doc/87496},
volume = {113},
year = {1985},
}

TY - JOUR
AU - Cognet, Michel
TI - Représentation de Weil et changement de base quadratique
JO - Bulletin de la Société Mathématique de France
PY - 1985
PB - Société mathématique de France
VL - 113
SP - 403
EP - 457
LA - fre
KW - metaplectic covering; non-Archimedean local field; Weil representations; Langlands base change; dual reductive pair; integral formula
UR - http://eudml.org/doc/87496
ER -

References

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  1. [1] BERNSTEIN and ZELEVINSKY, Representation of the group GLn(F) where F is a local non archimedian field, Russian Math. Survey, vol. 31, n 3, 1976. Zbl0348.43007
  2. [2] FRIEDBERG, Theta functions, liftingsand generalized Hilbert modular forms (dissertation, June 1982). 
  3. [3] GÉRARDIN, Facteurs locaux des algèbres de rang 4. 
  4. [4] GÉRARDIN-LABESSE, The solution of a base change problem for GL2(F) AMS proceedings of symposia in pure mathematics, vol. 33, part 2, p. 115-133. Zbl0412.10018
  5. [5] GODEMENT, Notes on Jacquet Langlands' theory, preprint I.A.S., 1972. 
  6. [6] JACQUET, automorphic forms on GL2, part 2, SLN 278, 1972. Zbl0243.12005MR58 #27778
  7. [7] JACQUET and GELBART, A relation between automorphic representations of GL2 and GL3, Ann. scient. Ec. Norm. Sup., t. 11, 1978, p. 471-542. Zbl0406.10022MR81e:10025
  8. [8] JACQUET-LANGLANDS, Automorphic forms on GL2, SLN 114, 1970. Zbl0236.12010
  9. [9] LANGLANDS, Base change for GL(2), Princeton university press and Tokyo press, 1980. Zbl0444.22007MR82a:10032
  10. [10] PIATETSKI-SHAPIRO, Automorphic forms on the symplectic group of order four, publication de l'I.H.E.S., juillet 1983. 
  11. [11] PIATETSKI-SHAPIRO, On the Saito-Kurokawa lifting, 1983, Inventiones mathematicae, vol. 71, p. 309-338. Zbl0515.10024MR84e:10038
  12. [12] WALDSPURGER, Correspondance de Shimura, J. Math. pures et appl., n° 60, p. 1-132. Zbl0412.10019MR83f:10029
  13. [13] WALDSPURGER, Correspondance de Shimura et quaternions (preprint). 
  14. [14] WEIL, Sur certains groupes d'opérateurs unitaires, Acta Math., n° 111, 1964. Zbl0203.03305MR29 #2324

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