@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},
year = {1994},
volume = {100},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a0/}
}
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/
[1] Faddeev L. D., Reshetikhin N. Yu., Takhtadzhyan L. A., “Kvantovanie grupp Li i algebr Li”, Algebra i analiz, 1 (1989), 178–206 | MR
[2] Drinfeld V. G., “Kvantovye gruppy”, Zap. nauchn. sem. LOMI, 155, 1986, 19
[3] Sklyanin E. K., “O nekotorykh algebraicheskikh strukturakh, svyazannykh s uravneniem Yanga–Bakstera”, Funkts. analiz i ego prilozh., 16:4 (1982), 27–34 | MR | Zbl
[4] Jimbo M., “A $q$-difference analog of $U_q(n)$ and the Yang–Baxter equation”, Lett. Math. Phys., 10 (1985), 63–69 | DOI | MR | Zbl
[5] Woronowicz S. L., “Twisted $SU(2)$ group. An example of noncommutative differential calculus”, Publ. RIMS, 23:1 (1987), 117–181 | DOI | MR | Zbl
[6] Kostant B., “Kvantovanie i unitarnye predstavleniya”, Uspekhi mat. nauk, 28:1 (1973), 163–225 | MR | Zbl
[7] Kirillov A. A., Sovremennye problemy matematiki. Fundamentalnye napravleniya, 4, VINITI, M., 1985, 141 | MR
[8] Kirillov L. L., Elementy teorii predstavlenii, Nauka, M., 1972 | MR
[9] Karasev M. V., Maslov V. P., Nelineinye skobki Puassona. Geometriya i kvantovanie, Nauka, M., 1991 | MR | Zbl
[10] Giiemin V., Sternberg S., Geometricheskie asimptotiki, Mir, M., 1981 | MR
[11] Semenov-Tyan-Shanskii M. A., “Chto takoe klassicheskaya $\tau$-matritsa ?”, Funkts. analiz i ego prilozh., 17:4 (1983), 17 | MR
[12] Semenov-Tyan-Shanskii M. A., “Klassicheskaya $\tau$-matritsa i kvantovanie”, Zap. nauchn. sem. LOMI, 133, 1984, 228 | MR
[13] Semenov-Tian-Shansky M. A., “Dressing transformations and Poisson group actions”, Publ. RIMS, 21:1 (1985), 1237–1260 | DOI | MR
[14] Vaksman L. L., Soibelman Ya. S., “Algebra funktsii na kvantovoi gruppe $SU_q(2)$”, Funkts. analiz i ego prilozh., 22:3 (1988), 1–14 | MR
[15] Soibelman Ya. S., “Neprivodimye predstavleniya algebry funktsii na kvantovoi gruppe $SU(n)$ i kletki Shuberta”, DAN SSSR, 307:1 (1989), 41–45 | MR
[16] Soibelman Ya. S., “Algebra funktsii na kompaktnoi kvantovoi gruppe i ee predstavleniya”, Algebra i analiz, 2:1 (1990), 190–212 | MR | Zbl
[17] Aref'eva I. Ya., Volovich I. V., “Quantum group gauge particles and non-archimedean geometry”, Phys. Lett. B, 264 (1991), 62 | DOI | MR