Compact manifold of coherent states invariant by semisimple Lie groups
A. Cavalli, G. D'Ariano, L. Michel (1986)
Annales de l'I.H.P. Physique théorique
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A. Cavalli, G. D'Ariano, L. Michel (1986)
Annales de l'I.H.P. Physique théorique
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C. Duval (1981)
Annales de l'I.H.P. Physique théorique
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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...
C. Cishahayo, S. De Bièvre (1993)
Annales de l'institut Fourier
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It is shown, using techniques inspired by the method of orbits, that each non-zero mass, positive energy representation of the Poincaré group can be obtained via contraction from the discrete series of representations of .