Poisson--Lie groups. The quantum duality principle and the twisted quantum double
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 302-329
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The quantum duality principle relates the quantum groups that arise on the quantization of Poisson–Lie dual groups and generalizes Fourier duality. Also considered are the theory of the Heisenberg double, which replaces the cotangent bundle for quantum groups, and its deformations (the twisted double).
@article{TMF_1992_93_2_a8,
author = {M. A. Semenov-Tian-Shansky},
title = {Poisson--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},
publisher = {mathdoc},
volume = {93},
number = {2},
year = {1992},
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 PB - mathdoc 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/