Unitary Representations of Reductive Lie Groups

David A.jun. Vogan

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2000)

  • Volume: 11, Issue: S1, page 147-167
  • ISSN: 1120-6330

Abstract

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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.

How to cite

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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 11.S1 (2000): 147-167. <http://eudml.org/doc/289701>.

@article{Vogan2000,
abstract = {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.},
author = {Vogan, David A.jun.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
language = {eng},
month = {12},
number = {S1},
pages = {147-167},
publisher = {Accademia Nazionale dei Lincei},
title = {Unitary Representations of Reductive Lie Groups},
url = {http://eudml.org/doc/289701},
volume = {11},
year = {2000},
}

TY - JOUR
AU - Vogan, David A.jun.
TI - Unitary Representations of Reductive Lie Groups
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2000/12//
PB - Accademia Nazionale dei Lincei
VL - 11
IS - S1
SP - 147
EP - 167
AB - 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.
LA - eng
UR - http://eudml.org/doc/289701
ER -

References

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