Exponents in Archimedean Arthur packets

Nicolas Bergeron, Laurent Clozel · Annales de l’institut Fourier · 2013

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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