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

@article{AIF_1993__43_2_551_0,
     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 = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {43},
     number = {2},
     year = {1993},
     doi = {10.5802/aif.1346},
     zbl = {0793.22005},
     mrnumber = {94e:22023},
     language = {en},
     url = {aif.centre-mersenne.org/item/AIF_1993__43_2_551_0/}
}
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/item/AIF_1993__43_2_551_0/

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