Smash (co)products and skew pairings

• Autores: José N. Alonso Álvarez , José Manuel Fernández Vilaboa , Ramón González Rodríguez
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 45, Nº 2, 2001, págs. 467-475
• Idioma: inglés
• DOI: 10.5565/publmat_45201_09
• Títulos paralelos:
  • (Co)productos smash y pares asimétricos
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• Resumen

  • 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.