no. 2
On the contraction of the discrete series of SU(1,1)
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)⊗ 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)⊗ s ℝ 2 peut être obtenue par contraction de la série discrète de SU(1,1).

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     author = {Cishahayo, C. and Bi\`evre, S. De},
     title = {On the contraction of the discrete series of $SU(1,1)$},
     journal = {Annales de l'Institut Fourier},
     pages = {551--567},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {43},
     number = {2},
     year = {1993},
     doi = {10.5802/aif.1346},
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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, Volume 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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