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Zbl 0634.22013
Clozel, Laurent
Progrès récents vers la classification du dual unitaire des groupes réductifs réels. (Recent progress in the classification of the unitary dual of real reductive groups). (French)
[A] Sémin. Bourbaki, 39ème année, Vol. 1986/87,, Exp. 681, Astérisque 152/153, 229-252 (1987).

[For the entire collection see Zbl 0627.00006.] \par The author discusses recent progress in the classification of irreducible unitary representations of real reductive groups. In particular, he discusses the work of David Vogan on the Zuckerman conjecture and the unitary dual of general linear groups over real numbers, complex numbers and quaternions, and the work of Dan Barbasch on unitary dual of complex groups.
[D.Miličić]

MSC 2000:: *22E47 Repres. of Lie and real algebraic groups: algebraic methods
22E30 Analysis on real and complex Lie groups

Keywords: irreducible unitary representations of real reductive groups; unitary dual

Citations: Zbl 0627.00006

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