Kaehler coherent state orbits for representations of semisimple Lie groups

W. Lisiecki

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Compact manifold of coherent states invariant by semisimple Lie groups

A. Cavalli, G. D&#039;Ariano, L. Michel (1986)

Annales de l'I.H.P. Physique théorique

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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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Geometric constructions and representations

Wolf, Joseph A.

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[For the entire collection see Zbl 0742.00067.]Let $G$ 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 $G$ on Dolbeault cohomology spaces and the tempered series of representations of $G$ 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 contraction of the discrete series of $S U (1, 1)$

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 $𝒫^{1, 1} = S O (1, 1) \otimes_{s} ℝ^{2}$ can be obtained via contraction from the discrete series of representations of $S U (1, 1)$ .

Displaying similar documents to “Kaehler coherent state orbits for representations of semisimple Lie groups”

Compact manifold of coherent states invariant by semisimple Lie groups

On the polarizers of compact semi-simple Lie groups. Applications

Geometric constructions and representations

On the contraction of the discrete series of S U ( 1 , 1 )

On the contraction of the discrete series of $S U (1, 1)$