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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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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.
Key concepts: Quasitriangular Hopf algebra, Hopf algebra, Pure mathematics, Mathematics, Algebra over a field, Algebra representation, Cellular algebra