Changements de base explicites des représentations supercuspidales de U(1,1)(F0)
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 F0 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)(F0). C’est une étape vers la description du changement de base des paquets endoscopiques supercuspidaux de U(2,1)(F0).

Let F0 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)(F0). This represents a step towards the goal of describing base change of endoscopic supercuspidal L-packets of U(2,1)(F0).

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. https://www.numdam.org/articles/10.5802/aif.2542/

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