Local Quasitriangular Hopf Algebras
Copyright policy )Local Quasitriangular Hopf Algebras
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.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
- University of Queensland Australia
- University of Queensland Australia
- University of Queensland Australia
- University of Quensland Australia
- Hunan Women'S University China (People's Republic of)
0105 Mathematical Physics, Hopf algebras and their applications, Yang-Baxter equations, 010501 Algebraic Structures in Mathematical Physics, Yang-Baxter equation, 010502 Integrable Systems (Classical and Quantum), local quasitriangular Hopf algebras, Mathematics - Rings and Algebras, Hopf algebra, C1, 970102 Expanding Knowledge in the Physical Sciences, Monoidal, symmetric monoidal and braided categories, braided tensor categories, Rings and Algebras (math.RA), braided category, Mathematics - Quantum Algebra, QA1-939, FOS: Mathematics, Quantum Algebra (math.QA), 970101 Expanding Knowledge in the Mathematical Sciences, 16W30, Mathematics
0105 Mathematical Physics, Hopf algebras and their applications, Yang-Baxter equations, 010501 Algebraic Structures in Mathematical Physics, Yang-Baxter equation, 010502 Integrable Systems (Classical and Quantum), local quasitriangular Hopf algebras, Mathematics - Rings and Algebras, Hopf algebra, C1, 970102 Expanding Knowledge in the Physical Sciences, Monoidal, symmetric monoidal and braided categories, braided tensor categories, Rings and Algebras (math.RA), braided category, Mathematics - Quantum Algebra, QA1-939, FOS: Mathematics, Quantum Algebra (math.QA), 970101 Expanding Knowledge in the Mathematical Sciences, 16W30, Mathematics
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