Geodesic
Racks and orbits of dressing transformations
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 3, pp. 437-444

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A new algebraic structure on the orbits of dressing transformations of the quasitriangular Poisson Lie groups is provided. This gives the topological interpretation of the link invariants associated with the Weinstein-Xu classical solutions of the quantum Yang-Baxter equation. Some applications to the three-dimensional topological quantum field theories are discussed.
Classification : 17B63, 57M25, 57M27, 57R56, 81R50
Keywords: automorphic set; Poisson Lie group; link invariants 
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     title = {Racks and orbits of dressing transformations},
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Balinsky, A. A. Racks and orbits of dressing transformations. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 3, pp. 437-444. http://geodesic.mathdoc.fr/item/CMUC_2000__41_3_a0/