Exponents in Archimedean Arthur packets

Bergeron, Nicolas; Clozel, Laurent

Annales de l'Institut Fourier, Tome 63 (2013) no. 1, pp. 113-154.

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 $L$-packet and representations which are more tempered.

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