Braided groups and quantum groupoids |
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Authors: | Guohua Liu and Haixing Zhu |
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Institution: | (1) Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China;(2) School of Mathematics, Statistics and Computer Science, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand |
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Abstract: | Let H be a quasitriangular weak Hopf algebra. It is proved that the centralizer subalgebra of its source subalgebra in H is a braided group (or Hopf algebra in the category of left H-modules), which is cocommutative and also a left braided Lie algebra in the sense of Majid. |
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