@article{TMF_1992_93_2_a8,
author = {M. A. Semenov-Tian-Shansky},
title = {Poisson{\textendash}Lie groups. {The} quantum duality principle and the twisted quantum double},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {302--329},
year = {1992},
volume = {93},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a8/}
}
TY - JOUR AU - M. A. Semenov-Tian-Shansky TI - Poisson–Lie groups. The quantum duality principle and the twisted quantum double JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1992 SP - 302 EP - 329 VL - 93 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a8/ LA - ru ID - TMF_1992_93_2_a8 ER -
M. A. Semenov-Tian-Shansky. Poisson–Lie groups. The quantum duality principle and the twisted quantum double. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 302-329. http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a8/
[1] Drinfeld V. G., “Quantum Groups”, Proc. of the Internat. Congr. of Math. (Berkeley, Calif., 1986), Amer. Math. Soc., Providence, RI, 1987, 798–820 | MR
[2] Jimbo M., Lett. Math. Phys., 10:1 (1985), 63–69 | DOI | MR | Zbl
[3] Reshetikhin N. Yu., Takhtadzhyan L. A., Faddeev L. D., Algebra i analiz, 1:1 (1989), 178–206 | MR
[4] Faddeev L. D., Reshetikhin N. Yu., Takhtajan L. A., “Quantization of Lie groups and Lie algebras”, Algebraic Analysis, v. 1, eds. Kashiwara M., Kawai T., Academic Press, N. Y., 1988, 129–139 | DOI | MR
[5] Drinfeld B. G., DAN SSSR, 268:5 (1983), 285–287 | MR | Zbl
[6] Weinstein A., J. Diff. Geom., 18 (1983), 523–557 | DOI | MR | Zbl
[7] Berezin F. A., Funkts. analiz i ego prilozh., 1:2 (1967), 1–14 | MR | Zbl
[8] Alekseev A. Yu., Faddeev L. D., Semenov-Tian-Shanski M. A., Hidden quantum group inside Kac-Moody algebra, preprint LOMI E1, LOMI, L., 1991 | MR
[9] Kirillov A. N., Reshetikhin N. Yu., Commun. Math. Phys., 134:2 (1990), 421–431 | DOI | MR | Zbl
[10] Levendorski S., Soibelman Y., J. Geom. Phys., 7:2 (1991), 241–251 | DOI | MR
[11] Rosso M., Commun. Math. Phys., 117 (1988), 307–318 | DOI | MR
[12] Semenov-Tian-Shanski M. A., Publ. RIMS, Kyoto University, 21:6 (1985), 1237–1260 | DOI
[13] Lu J. H., “Momentum mappings and reduction of Poisson actions”, Symplectic geometry, groupoids, and integrable systems, no. 20, eds. P. Dozor, A. Weinstein, MSRI Publications, 1991, 209–226 | MR
[14] Kirillov A. A., Elementy teorii predstavlenii, Nauka, M., 1972 | MR
[15] Reshetikhin N. Yu., Semenov-Tian-Shanski M. A., J. Geom. Phys., 5:4 (1989), 533–550 | DOI | MR
[16] Alekseev A. Yu., Faddeev L. D., Commun. Math. Phys., 141:3 (1991), 413–422 | DOI | MR | Zbl
[17] Reshetikhin N. Yu., Semenov-Tian-Shanski M. A., Lett. Math. Phys., 19:3 (1990), 133–142 | DOI | MR | Zbl
[18] Belavin A. A., Drinfeld V. G., Mathematical physics reviews, v. 4, Soviet Sci. Rev. Sect. C Math. Phys. Rev., 4, Harwood Academic Publ., Chur, 1984, 93–165 | MR
[19] Parmentier S., Twisted Affine Poisson Structures and the Classical Yang-Baxter Equation, preprint MPI/91-82, M. Planck. Institut fur Math., Bonn