Smash (co)products and skew pairings.

Alonso Alvarez, José N., Fernández Vilaboa, José Manuel, and González Rodríguez, Ramón. "Smash (co)products and skew pairings.." Publicacions Matemàtiques 45.2 (2001): 467-475. <http://eudml.org/doc/41604>.

@article{AlonsoAlvarez2001,
abstract = {Let τ 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 HHγD and there exists a Hopf algebra isomorphism w: B ∞ H → B [×]τ H in C, where B ∞ H is a Hopf algebra with (co)algebra structure the smash (co)product and B [×]τ H is the Hopf algebra defined by Doi and Takeuchi.},
author = {Alonso Alvarez, José N., Fernández Vilaboa, José Manuel, González Rodríguez, Ramón},
journal = {Publicacions Matemàtiques},
keywords = {strict symmetric monoidal categories; invertible skew pairings; double crossproduct Hopf algebras; braided categories; smash products},
language = {eng},
number = {2},
pages = {467-475},
title = {Smash (co)products and skew pairings.},
url = {http://eudml.org/doc/41604},
volume = {45},
year = {2001},
}

TY - JOUR
AU - Alonso Alvarez, José N.
AU - Fernández Vilaboa, José Manuel
AU - González Rodríguez, Ramón
TI - Smash (co)products and skew pairings.
JO - Publicacions Matemàtiques
PY - 2001
VL - 45
IS - 2
SP - 467
EP - 475
AB - Let τ 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 HHγD and there exists a Hopf algebra isomorphism w: B ∞ H → B [×]τ H in C, where B ∞ H is a Hopf algebra with (co)algebra structure the smash (co)product and B [×]τ H is the Hopf algebra defined by Doi and Takeuchi.
LA - eng
KW - strict symmetric monoidal categories; invertible skew pairings; double crossproduct Hopf algebras; braided categories; smash products
UR - http://eudml.org/doc/41604
ER -