Geodesic
Representations of the compact quantum group $SU_q(2)$ and geometrical quantization
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 163-172

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The Souriau–Kostant method of geometrical quantization is used to construct infinite-dimensional irreducible unitary representations of the algebra of functions of the compact quantum group $SU_q(2)$. The generalization to the case of the quantum group $SU_q(n)$ is discussed. 
@article{TMF_1994_100_2_a0,
     author = {G. E. Arutyunov},
     title = {Representations of the compact quantum group $SU_q(2)$ and geometrical quantization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--172},
     publisher = {mathdoc},
     volume = {100},
     number = {2},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a0/}
}
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G. E. Arutyunov. Representations of the compact quantum group $SU_q(2)$ and geometrical quantization. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 163-172. http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a0/