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- W3103714586 abstract "We give an explicit construction of Arthur packets for real unitary groups by cohomological and parabolic induction and following an idea communicated to us by P. Trapa, we show that they satisfy the multiplicity one property. In particular, we show the irreducibility of some parabolically induced representations for unitary groups, and use this to give the proof of analogous statements made in our work on Arthur packets of classical groups. Nous donnons une construction explicite des paquets d'Arthur des groupes unitaires r'eels par induction cohomologique et induction parabolique et en suivant une id'ee communiqu'ee par P. Trapa, nous 'etablissons la propri'et'e de multiplicit'e un de ceux-ci. Nous montrons en particulier des r'esultats d'irr'eductibilit'e de certaines induites paraboliques pour les groupes unitaires, ce qui nous permet de compl'eter les d'emonstrations d''enonc'es analogues annonc'es dans nos travaux sur les paquets d'Arthur des groupes classiques." @default.
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- W3103714586 date "2019-04-18" @default.
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- W3103714586 title "Sur les paquets d’Arthur des groupes unitaires et quelques conséquences pour les groupes classiques" @default.
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- W3103714586 doi "https://doi.org/10.2140/pjm.2019.299.53" @default.
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