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A construction of braided Hopf algebras. (English) Zbl 1056.16036

Tsukuba J. Math. 26, No. 2, 269-289 (2002).

Summary: Under suitable assumptions, we present a method to construct braided Hopf algebras (braided groups) \(\overline B\) and \(\underline B\) in Yetter-Drinfel’d category \(_H\mathcal{YD}_1^H\) and \(_H\mathcal{YD}_2^H\), respectively. As applications, we study some special cases in both module and comodule form for \(H\) quasitriangular and for \(H\) coquasitriangular, respectively. Finally, some examples are given.

MSC:

16W30

Hopf algebras (associative rings and algebras) (MSC2000)

Keywords:

braided Hopf algebras; Yetter-Drinfeld categories

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