Facteurs locaux pour GL ( 2 )

Paul Gérardin; Philip Kutzko

Annales scientifiques de l'École Normale Supérieure (1980)

  • Volume: 13, Issue: 3, page 349-384
  • ISSN: 0012-9593

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Gérardin, Paul, and Kutzko, Philip. "Facteurs locaux pour ${\rm GL}(2)$." Annales scientifiques de l'École Normale Supérieure 13.3 (1980): 349-384. <http://eudml.org/doc/82055>.

@article{Gérardin1980,
author = {Gérardin, Paul, Kutzko, Philip},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {representations; local field; induction; supercuspidal; local factor},
language = {fre},
number = {3},
pages = {349-384},
publisher = {Elsevier},
title = {Facteurs locaux pour $\{\rm GL\}(2)$},
url = {http://eudml.org/doc/82055},
volume = {13},
year = {1980},
}

TY - JOUR
AU - Gérardin, Paul
AU - Kutzko, Philip
TI - Facteurs locaux pour ${\rm GL}(2)$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1980
PB - Elsevier
VL - 13
IS - 3
SP - 349
EP - 384
LA - fre
KW - representations; local field; induction; supercuspidal; local factor
UR - http://eudml.org/doc/82055
ER -

References

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  1. [1] J. CASSELS et A. FROHLICH, Algebraic Number Theory, Academic Press, New York, 1967. Zbl0153.07403MR35 #6500
  2. [2] P. DELIGNE, (a) Formes modulaires et représentations de GL (2) ; (b) Les constantes des équations fonctionnelles des fonctions L ; Modular Functions of One Variable II (Lecture Notes 349, Springer, Berlin, 1972). Zbl0271.14011MR50 #240
  3. [3] P. DELIGNE et G. LUSZTIG, Representations of Reductive Groups Over Finite Fields (Ann. of Math., vol. 103, 1976, p. 103-162). Zbl0336.20029MR52 #14076
  4. [4] I. M. GELFAND et M. I. GRAEV, Representations of Quaternions Groups Over Locally Compact Fields and Functional Fields (Funct. Anal. Appl., vol. 2, 1968, p. 19-33). Zbl0233.20016MR38 #4611
  5. [5] P. GÉRARDIN, Construction de séries discrètes p-adiques (Lecture Notes 462, Springer, Berlin, 1975). Zbl0302.22002MR53 #719
  6. [5]' P. GÉRARDIN, Cuspidal Unramified Series for Central Simple Algebras Over Local Fields, Automorphic forms, representations, and L-functions, P.S.P.M., XXIII, I, p. 157-170 ; Amer. Math. Soc., 1979. Zbl0416.22019MR81j:22022
  7. [6] G. HENNIART, Représentations de degré 2 de Gal (Q2/Q2) (C. R. Acad. Sc., Paris, 1977). Zbl0355.12013MR56 #259
  8. [7] H. JACQUET et R. P. LANGLANDS, Automorphic Forms on GL (2) (Lecture Notes 114, Springer, Berlin, 1966). Zbl0236.12010MR53 #5481
  9. [8] P. KUTZKO, On the Supercuspidal Representations of GL (2), I, II (Amer. J. Math., vol. 100, 1978, p. 43-60 et 705-716). Zbl0421.22012MR58 #22411a
  10. [8]' P. KUTZKO, The Exceptional Representations of GL (2) (à paraître). 
  11. [9] R. P. LANGLANDS, Base change for GL (2), Institute for Advanced Study, 1975. 
  12. [10] J.-P. SERRE, Corps locaux, Hermann, Paris, 1968. Zbl0137.02601MR50 #7096
  13. [11] T. SHINTANI, On Certain Square Integrable Irreductible Unitary Representations of Some p-Adic Linear Groups (J. Math. Soc. Japan, vol. 20, 1968, p. 522-565). Zbl0194.05602MR38 #2252
  14. [12] A. WEIL, Basic Number Theory, 2nd edition, Springer, 1973. 

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