Comparaisons des exposants à l'intérieur d'un paquet d'Arthur archimédien

Details Comparaisons des exposants à l'intérieur d'un paquet d'Arthur archimédien Comparaisons des exposants à l'intérieur d'un paquet d'Arthur archimédien

2011-01-14

arxiv.org/abs/1101.2743v2

Mathematics

Representation Theory

29 pages

Scientific paper

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 {\it a local Arthur packet contains the corresponding local $L$-packet and representations which are more tempered.}

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