Geodesic
Unitary Representations of Reductive Lie Groups
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. S1, pp. 147-167.

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One of the fundamental problems of abstract harmonic analysis is the determination of the irreducible unitary representations of simple Lie groups. After recalling why this problem is of interest, we discuss the present state of knowledge about it. In the language of Kirillov and Kostant, the problem finally is to «quantize» nilpotent coadjoint orbits. 
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Vogan, David A.jun. Unitary Representations of Reductive Lie Groups. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. S1, pp. 147-167. http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_S1_a8/

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