Possible derivation of some group representations by means of a canonical realization of the Lie algebra
J. L. Richard (1968)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “On the contraction of the discrete series of ”
Possible derivation of some group representations by means of a canonical realization of the Lie algebra
On the unitary representations of and
L. C. Biedenharn, J. Nuyts, N. Straumann (1965)
Annales de l'I.H.P. Physique théorique
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Geometric constructions and representations
Wolf, Joseph A.
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[For the entire collection see Zbl 0742.00067.]Let be a connected semisimple Lie group with finite center. In this review article the author describes first the geometric realization of the discrete series representations of on Dolbeault cohomology spaces and the tempered series of representations of on partial Dolbeault cohomology spaces. Then he discusses his joint work with Wilfried Schmid on the construction of maximal globalizations of standard Zuckerman modules via geometric...
On the polarizers of compact semi-simple Lie groups. Applications
C. Duval (1981)
Annales de l'I.H.P. Physique théorique
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On the spinorial representations of .
Teleman, Kostake (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Quantification of coadjoint orbits and the theory of contractions. (Quantification d'orbites coadjointes et théorie des contractions.)
Cahen, Benjamin (2001)
Journal of Lie Theory
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Unitary Representations of Reductive Lie Groups
David A.jun. Vogan (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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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.