Vogan: Unitary Representations of Reductive Lie Groups

Vogan, David A.jun.:
Unitary Representations of Reductive Lie Groups
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 11 (2000), fasc. n.S1 —Mathematics Towards The Third Millenium, p. 147-167, (English)
pdf (910 Kb), djvu (2.55 MB). | MR 1845669 | Zbl 1149.22301

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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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Referenze Bibliografiche