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03 November 2024
 
  » arxiv » hep-th/9304042

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Poisson Lie Groups, Quantum Duality Principle, and the Quantum Double
M. A. Semenov-Tian-Shansky ;
Date 10 Apr 1993
Journal Theor.Math.Phys. 93 (1992) 1292-1307; Teor.Mat.Fiz. 93N2 (1992) 302-329
Subject High Energy Physics - Theory; Quantum Algebra | hep-th math.QA
AbstractThe Heisenberg double of a Hopf algebra may be regarded as a quantum analogue of the cotangent bundle of a Lie group. Quantum duality principle describes relations between a Hopf algebra, its dual, and their Heisenberg double in a way which extends both the theory of coadjoint orbits and the classical Fourier transform. We also describe the twisted Heisenberg double which is relevant for the study of nontrivial deformations of the quantized universal enveloping algebras.
Source arXiv, hep-th/9304042
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