This article is cited in 60 papers

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

M. A. Semenov-Tian-Shansky

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: 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).

Received: 18.06.1992

 English version: Theoretical and Mathematical Physics, 1992, 93:2, 1292–1307

Bibliographic databases:

• 
• 
•