Braided Hopf Algebras Obtained from Coquasitriangular Hopf Algebras
نویسندگان
چکیده
Let (H, σ) be a coquasitriangular Hopf algebra, not necessarily finite dimensional. Following methods of Doi and Takeuchi, which parallel the constructions of Radford in the case of finite dimensional quasitriangular Hopf algebras, we define Hσ , a sub-Hopf algebra of H, the finite dual of H. Using the generalized quantum double construction and the theory of Hopf algebras with a projection, we associate to H a braided Hopf algebra structure in the category of Yetter-Drinfeld modules over H σ . Specializing to H = SLq(N), we obtain explicit formulas which endow SLq(N) with a braided Hopf algebra structure within the category of left Yetter-Drinfeld modules over U q (slN ) .
منابع مشابه
Coquasitriangular Hopf Algebras in Braided Categories
We study (Hopf) bialgebras in a braided category, which are equipped with an inner twist. By means of the inner twist we define the second mutiplication on the (Hopf) bialgebra, which plays the role of the opposite multiplication. Hence one can define the coquasitriangular structure on these bialgebras. Examples of these bialgebras are reconstructed bialgebras.
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