On the contraction of the discrete series of $SU(1,1)$

Cishahayo, C.; Bièvre, S. De

Annales de l'Institut Fourier, Volume 43 (1993) no. 2, pp. 551-567.

It is shown, using techniques inspired by the method of orbits, that each non-zero mass, positive energy representation of the Poincaré group ${𝒫}^{1,1}=SO(1,1){\otimes }_s{ℝ}^2$ can be obtained via contraction from the discrete series of representations of $SU(1,1)$.

Nous montrons, en utilisant des idées provenant de la méthode des orbites, que toute représentation massive et d’énergie positive du groupe de Poincaré ${𝒫}^{1,1}=SO(1,1){\otimes }_s{ℝ}^2$ peut être obtenue par contraction de la série discrète de $SU(1,1)$.

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