Soit un corps local non archimédien de caractéristique nulle et de caractéristique résiduelle impaire. On décrit explicitement les changements de base des représentations supercuspidales de . C’est une étape vers la description du changement de base des paquets endoscopiques supercuspidaux de .
Let be a nonarchimedean local field of characterisitic 0 and odd residual characteristic. We describe explicitly the two base change lifts of supercuspidal representations of . This represents a step towards the goal of describing base change of endoscopic supercuspidal -packets of .
Mot clés : corps local, changement de base, groupe unitaire, représentations supercuspidales, $L$-paquets
Keywords: Local field, base change, unitary group, supercuspidal representations, $L$-packets
@article{AIF_2010__60_3_905_0, author = {Blasco, Laure}, title = {Changements de base explicites des repr\'esentations supercuspidales de $U(1,1)(F_0)$}, journal = {Annales de l'Institut Fourier}, pages = {905--938}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {60}, number = {3}, year = {2010}, doi = {10.5802/aif.2542}, zbl = {1210.22009}, mrnumber = {2680819}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/aif.2542/} }
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 SP - 905 EP - 938 VL - 60 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2542/ DO - 10.5802/aif.2542 LA - fr ID - AIF_2010__60_3_905_0 ER -
%0 Journal Article %A Blasco, Laure %T Changements de base explicites des représentations supercuspidales de $U(1,1)(F_0)$ %J Annales de l'Institut Fourier %D 2010 %P 905-938 %V 60 %N 3 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2542/ %R 10.5802/aif.2542 %G fr %F AIF_2010__60_3_905_0
Blasco, Laure. Changements de base explicites des représentations supercuspidales de $U(1,1)(F_0)$. Annales de l'Institut Fourier, Tome 60 (2010) no. 3, pp. 905-938. doi : 10.5802/aif.2542. http://www.numdam.org/articles/10.5802/aif.2542/
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