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

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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).

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Authors
  1. M. A. Semenov-Tyan-Shanskii
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St Petersburg Branch of the V. A. Steklov Mathematics Institute, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 93, No. 2, pp. 302–329, November, 1992.

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Semenov-Tyan-Shanskii, M.A. Poisson-Lie groups. The quantum duality principle and the twisted quantum double. Theor Math Phys 93, 1292–1307 (1992). https://doi.org/10.1007/BF01083527

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  • DOI: https://doi.org/10.1007/BF01083527

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