Poisson-Lie groups. The quantum duality principle and the twisted quantum double
- Cite this article as:
- Semenov-Tyan-Shanskii, M.A. Theor Math Phys (1992) 93: 1292. doi:10.1007/BF01083527
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).