Smash (co)products and skew pairings

  1. Alonso Álvarez, José N.
  2. Fernández Vilaboa, José Manuel
  3. González Rodríguez, Ramón
Aldizkaria:
Publicacions matematiques

ISSN: 0214-1493

Argitalpen urtea: 2001

Alea: 45

Zenbakia: 2

Orrialdeak: 467-475

Mota: Artikulua

DOI: 10.5565/PUBLMAT_45201_09 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Beste argitalpen batzuk: Publicacions matematiques

Laburpena

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.