Abstract
The concept of (f, σ)-pair (B,H)is introduced, where B and H are Hopf algebras. A braided tensor category which is a tensor subcategory of the category H \( \mathcal{M} \) of left H-comodules through an (f, σ)-pair is constructed. In particularly, a Yang-Baxter equation is got. A Hopf algebra is constructed as well in the Yetter-Drinfel’d category H H \( \mathcal{Y}\mathcal{D} \) by twisting the multiplication of B.
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Supported by the Zhejiang Provincial Natural Science Foundation (Y607075)
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Lu, Zj., Fang, Xl. Generalized braided Hopf algebras. Appl. Math. J. Chin. Univ. 24, 105–113 (2009). https://doi.org/10.1007/s11766-009-1844-6
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DOI: https://doi.org/10.1007/s11766-009-1844-6