Explicit base change lifts of the supercuspidal representations of U ( 1 , 1 ) ( F 0 )

Laure Blasco[1]

  • [1] Université Paris-Sud Département de Mathématiques U.M.R. 8628 du C.N.R.S. Bâtiment 425 91405 Orsay cedex (France)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 3, page 905-938
  • ISSN: 0373-0956

Abstract

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Let F 0 be a nonarchimedean local field of characterisitic 0 and odd residual characteristic. We describe explicitly the two base change lifts of supercuspidal representations of U ( 1 , 1 ) ( F 0 ) . This represents a step towards the goal of describing base change of endoscopic supercuspidal L -packets of U ( 2 , 1 ) ( F 0 ) .

How to cite

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Blasco, Laure. "Changements de base explicites des représentations supercuspidales de $U(1,1)(F_0)$." Annales de l’institut Fourier 60.3 (2010): 905-938. <http://eudml.org/doc/116295>.

@article{Blasco2010,
abstract = {Soit $F_0$ un corps local non archimédien de caractéristique nulle et de caractéristique résiduelle impaire. On décrit explicitement les changements de base des représentations supercuspidales de $U(1,1)(F_\{0\})$. C’est une étape vers la description du changement de base des paquets endoscopiques supercuspidaux de $U(2,1)(F_\{0\})$.},
affiliation = {Université Paris-Sud Département de Mathématiques U.M.R. 8628 du C.N.R.S. Bâtiment 425 91405 Orsay cedex (France)},
author = {Blasco, Laure},
journal = {Annales de l’institut Fourier},
keywords = {Local field; base change; unitary group; supercuspidal representations; $L$-packets},
language = {fre},
number = {3},
pages = {905-938},
publisher = {Association des Annales de l’institut Fourier},
title = {Changements de base explicites des représentations supercuspidales de $U(1,1)(F_0)$},
url = {http://eudml.org/doc/116295},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Blasco, Laure
TI - Changements de base explicites des représentations supercuspidales de $U(1,1)(F_0)$
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 3
SP - 905
EP - 938
AB - Soit $F_0$ un corps local non archimédien de caractéristique nulle et de caractéristique résiduelle impaire. On décrit explicitement les changements de base des représentations supercuspidales de $U(1,1)(F_{0})$. C’est une étape vers la description du changement de base des paquets endoscopiques supercuspidaux de $U(2,1)(F_{0})$.
LA - fre
KW - Local field; base change; unitary group; supercuspidal representations; $L$-packets
UR - http://eudml.org/doc/116295
ER -

References

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