Displaying similar documents to “On the polarizers of compact semi-simple Lie groups. Applications”

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 ) s 2 can be obtained via contraction from the discrete series of representations of S U ( 1 , 1 ) .

Weyl algebra and a realization of the unitary symmetry

Strasburger, Aleksander

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In the paper the origins of the intrinsic unitary symmetry encountered in the study of bosonic systems with finite degrees of freedom and its relations with the Weyl algebra (1979, Jacobson) generated by the quantum canonical commutation relations are presented. An analytical representation of the Weyl algebra formulated in terms of partial differential operators with polynomial coefficients is studied in detail. As a basic example, the symmetry properties of the d -dimensional quantum...

Covariant star-products

Mohsen Masmoudi (1995)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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