[Comparaisons des exposants à l’intérieur d’un paquet d’Arthur archimédien]
En généralisant la démonstration de Hecht et Schmid de la conjecture d’Osborne, nous démontrons une version archimédienne – et plus faible – d’un théorème de Colette Moeglin. Cela donne un sens archimédien précis au principe énoncé par le second auteur selon lequel on trouve dans un paquet d’Arthur des représentations qui appartiennent au paquet de Langlands associé et des représentations plus tempérées.
Generalizing the proof – by Hecht and Schmid – of Osborne’s conjecture we prove an Archimedean (and weaker) version of a theorem of Colette Moeglin. The result we obtain is a precise Archimedean version of the general principle – stated by the second author – according to which a local Arthur packet contains the corresponding local -packet and representations which are more tempered.
Mots clés : Représentations unitaires, exposants, conjecture d’Osborne, paquets d’Arthur
Bergeron, Nicolas 1 ; Clozel, Laurent 2
@article{AIF_2013__63_1_113_0,
author = {Bergeron, Nicolas and Clozel, Laurent},
title = {Exponents in {Archimedean} {Arthur} packets},
journal = {Annales de l'Institut Fourier},
pages = {113--154},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {63},
number = {1},
year = {2013},
doi = {10.5802/aif.2757},
mrnumber = {3097944},
zbl = {1276.22002},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2757/}
}
TY - JOUR AU - Bergeron, Nicolas AU - Clozel, Laurent TI - Exponents in Archimedean Arthur packets JO - Annales de l'Institut Fourier PY - 2013 SP - 113 EP - 154 VL - 63 IS - 1 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2757/ DO - 10.5802/aif.2757 LA - en ID - AIF_2013__63_1_113_0 ER -
%0 Journal Article %A Bergeron, Nicolas %A Clozel, Laurent %T Exponents in Archimedean Arthur packets %J Annales de l'Institut Fourier %D 2013 %P 113-154 %V 63 %N 1 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2757/ %R 10.5802/aif.2757 %G en %F AIF_2013__63_1_113_0
Bergeron, Nicolas; Clozel, Laurent. Exponents in Archimedean Arthur packets. Annales de l'Institut Fourier, Tome 63 (2013) no. 1, pp. 113-154. doi : 10.5802/aif.2757. https://aif.centre-mersenne.org/articles/10.5802/aif.2757/
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