@article{AIHPA_1993__58_2_235_0,
author = {Donin, J. and Gurevich, D. and Majid, S.},
title = {R-matrix brackets and their quantization},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {235--246},
year = {1993},
publisher = {Gauthier-Villars},
volume = {58},
number = {2},
mrnumber = {1217120},
zbl = {0783.17005},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1993__58_2_235_0/}
}
TY - JOUR AU - Donin, J. AU - Gurevich, D. AU - Majid, S. TI - R-matrix brackets and their quantization JO - Annales de l'I.H.P. Physique théorique PY - 1993 SP - 235 EP - 246 VL - 58 IS - 2 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1993__58_2_235_0/ LA - en ID - AIHPA_1993__58_2_235_0 ER -
Donin, J.; Gurevich, D.; Majid, S. R-matrix brackets and their quantization. Annales de l'I.H.P. Physique théorique, Tome 58 (1993) no. 2, pp. 235-246. https://www.numdam.org/item/AIHPA_1993__58_2_235_0/
[1] and , Triangle Equations and simple Lie Algebras, preprint No. 18, Inst. Theor. Phys. Acad. Sci. U.S.S.R., Chernogolovka, 1982 (in Russian). | MR
[2] , On a constant Quasiclassical Solutions of the Yang-Baxter Equations, Sov. Math. Dokl., Vol. 28, 1983, pp. 667-671. | Zbl
[3] , Quasi-Hopf Algebras, eng. trans. in Leningrad Math. J., Vol. 1, 1990; pp. 1419-1457, On Quasitriangular Quasi-Hopf Algebras and a Group closely connected with Gal (Q/Q), eng. transl. in Leningrad Math. J., Vol. 2, 1991, pp. 829. | Zbl | MR
[4] , Quantum Group invariance in Quantum Sphere valued statistical Models, in Phys. Lett. B, Vol. 276, 1992, pp. 465-471. | MR
[5] , . RESHETIKHIN and , Quantization of Lie Groups and Lie Algebras, eng. trans. in Leningrad Math. J., Vol. 1, 1990, pp. 193- 225. | Zbl | MR
[6] , and , Quantization of Poisson Pairs: the R-Matrix approach, in J. Geom. Phys., Vol. 9, 1992, pp. 25-44. | Zbl | MR
[7] , and , A family of Poisson structures on compact Hermitian symmetric spaces, preprint IHES/M/91/91.
[8] and , Poisson Lie groups, dressing transformations, and Bruhat decompositions, J. Diff. Geom., Vol. 31, 1990, pp. 501-526. | Zbl | MR
[9] , Examples of braided groups and braided matrices, J. Math. Phys., Vol. 32, 1991, pp. 3246-3253. | Zbl | MR
[10] , Quasitriangular Hopf algebras and Yang-Baxter equation, Int. J. Modern Physics A, Vol. 5, n° 1, 1990, pp. 1-91 | Zbl | MR
[11] , Quantum groups and non-commutative geometry, Report, Centre de Rech. Math., Montreal, 1988. | Zbl
[12] , Quantum spheres, Lett. Math. Phys. Vol. 14, 1987, pp. 193-202. | Zbl | MR
[13] , and , Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere, Comm. Math. Phys., Vol. 135, 1991, pp. 217-232. | Zbl | MR





