Racks and Orbits of Dressing Transformations
classification
✦ hep-th
keywords
dressingorbitsquantumtopologicaltransformationsalgebraicapplicationsassociated
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New algebraic structure on the orbits of dressing transformations of the quasitriangular Poisson Lie groups is provided. This give 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.
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