Changements de base explicites des représentations supercuspidales de U(1,1)(F 0 )  [ Explicit base change lifts of the supercuspidal representations of U(1,1)(F 0 ) ]
Annales de l'Institut Fourier, Volume 60 (2010) no. 3, p. 905-938
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 ).
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 ).
DOI : https://doi.org/10.5802/aif.2542
Classification:  22E50,  11F70
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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {60},
     number = {3},
     year = {2010},
     pages = {905-938},
     doi = {10.5802/aif.2542},
     zbl = {1210.22009},
     mrnumber = {2680819},
     language = {fr},
     url = {https://aif.centre-mersenne.org/item/AIF_2010__60_3_905_0}
}
Changements de base explicites  des représentations supercuspidales de $U(1,1)(F_0)$. Annales de l'Institut Fourier, Volume 60 (2010) no. 3, pp. 905-938. doi : 10.5802/aif.2542. https://aif.centre-mersenne.org/item/AIF_2010__60_3_905_0/

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