Smash (co)products and skew pairings
- Alonso Álvarez, José N.
- Fernández Vilaboa, José Manuel
- González Rodríguez, Ramón
ISSN: 0214-1493
Datum der Publikation: 2001
Ausgabe: 45
Nummer: 2
Seiten: 467-475
Art: Artikel
Andere Publikationen in: Publicacions matematiques
Zusammenfassung
Let t be an invertible skew pairing on (B,H) where B and H are Hopf algebras in a symmetric monoidal category C with (co)equalizers. Assume that H is quasitriangular. Then we obtain a new algebra structure such that B is a Hopf algebra in the braided category HH?D and there exists a Hopf algebra isomorphism w: B 8 H ? B [×]t H in C, where B 8 H is a Hopf algebra with (co)algebra structure the smash (co)product and B [×]t H is the Hopf algebra defined by Doi and Takeuchi.