Hopf (bi-)modules and crossed modules in braided monoidal categories

被引：39
|
作者：
Bespalov, Y
Drabant, B
机构：
[1] Katholieke Univ Leuven, Dept Math, B-3001 Louvain, Belgium
[2] Natl Acad Sci Ukraine, Bogolyubov Inst Theoret Phys, UA-252143 Kiev, Ukraine
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 1998年 / 123卷 / 1-3期
关键词：
D O I：
10.1016/S0022-4049(96)00105-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Hopf (bi-)modules and crossed modules over a bialgebra B in a braided monoidal category C are considered. The (braided) monoidal equivalence of both categories is proved provided B is a Hopf algebra (with invertible antipode). Bialgebra projections and Hopf bimodule bialgebras over a Hopf algebra in C are found to be isomorphic categories. A generalization of the Majid-Radford criterion for a braided Hopf algebra to be a cross product is obtained as an application of these results. (C) 1998 Elsevier Science B.V.
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页码：105 / 129
页数：25
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