Double bicrossproducts in braided tensor categories

Citation
Sc. Zhang et Hx. Chen, Double bicrossproducts in braided tensor categories, COMM ALGEB, 29(1), 2001, pp. 31-66
Citations number
19
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
29
Issue
1
Year of publication
2001
Pages
31 - 66
Database
ISI
SICI code
0092-7872(2001)29:1<31:DBIBTC>2.0.ZU;2-1
Abstract
The double bicrossproduct D = A(alpha)(phi)x(beta)(psi) H of two bialgebras A and H is constructed in a braided tensor category and the necessary and sufficient conditions for D to be a bialgebra are given. The universal prop erty of double bicrossproduct is obtained.