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Theoretical and Mathematical Physics

, Volume 93, Issue 2, pp 1292–1307 | Cite as

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

  • M. A. Semenov-Tyan-Shanskii
Article

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).

Keywords

Fourier Quantum Group Cotangent Bundle Dual Group Duality Principle 
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Copyright information

© Plenum Publishing Corporation 1992

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  • M. A. Semenov-Tyan-Shanskii

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