Theoretical and Mathematical Physics

, Volume 93, Issue 2, pp 1292–1307

Poisson-Lie groups. The quantum duality principle and the twisted quantum double

  • M. A. Semenov-Tyan-Shanskii

DOI: 10.1007/BF01083527

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).

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • M. A. Semenov-Tyan-Shanskii

There are no affiliations available

Personalised recommendations