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On twisting solutions to the Yang-Baxter equation
Authors:P.P. Kulish  A.I. Mudrov
Affiliation:(1) St.-Petersburg Department, Steklov Mathematical Institute, Fontanka, 27, St.-Petersburg, 191011, Russia;(2) Department of Theoretical Physics, Institute of Physics, St.-Petersburg State University, Ulyanovskaya, 1, St. Petergof, St.-Petersburg, 198904, Russia
Abstract:Sufficient conditions for an invertible two-tensor F to relate two solutions to the Yang-Baxter equation via the transformation R rarr F21-1 RF are formulated. Those conditions are equivalent to the problem of twisting for certain quasitriangular bialgebras.
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