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arxiv: math/9811044 · v1 · submitted 1998-11-08 · 🧮 math.QA

On twisting solutions to the Yang-Baxter equation

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keywords conditionsequationsolutionstwistingyang-baxterarisingbialgebrascertain
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Sufficient conditions for an invertible two-tensor $F$ to relate two solutions to the Yang-Baxter equation via the transformation $R\to F^{-1}_{21} R F$ are formulated. Those conditions include relations arising from twisting of certain quasitriangular bialgebras.

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