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.
@article{119178, author = {A. A. Balinsky}, title = {Racks and orbits of dressing transformations}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {41}, year = {2000}, pages = {437-444}, zbl = {1037.57500}, mrnumber = {1795074}, language = {en}, url = {http://dml.mathdoc.fr/item/119178} }
Balinsky, A. A. Racks and orbits of dressing transformations. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 437-444. http://gdmltest.u-ga.fr/item/119178/
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