no. 2
On the contraction of the discrete series of SU(1,1)
Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 551-567.

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)⊗ s ℝ 2 peut être obtenue par contraction de la série discrète de SU(1,1).

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)⊗ s ℝ 2 can be obtained via contraction from the discrete series of representations of SU(1,1).

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     title = {On the contraction of the discrete series of $SU(1,1)$},
     journal = {Annales de l'Institut Fourier},
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Cishahayo, C.; Bièvre, S. De. On the contraction of the discrete series of $SU(1,1)$. Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 551-567. doi : 10.5802/aif.1346. https://aif.centre-mersenne.org/articles/10.5802/aif.1346/

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