Local quasitriangular Hopf algebras

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Abstract

We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite cycles over a local quasitriangular Hopf algebra is a braided tensor category.

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Zhang, S., Gould, M. D., & Zhang, Y. Z. (2008). Local quasitriangular Hopf algebras. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 4. https://doi.org/10.3842/SIGMA.2008.042

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