Changements de base explicites des représentations supercuspidales de U(1,1)(F 0 )
Blasco, Laure1
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, Tome 60 (2010) no. 3, pp. 905-938.

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 ).

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 ).

DOI : 10.5802/aif.2542
Classification : 22E50, 11F70
Mot clés : corps local, changement de base, groupe unitaire, représentations supercuspidales, $L$-paquets
Keywords: Local field, base change, unitary group, supercuspidal representations, $L$-packets
Blasco, Laure 1

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