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.

引用

页码：105 / 129

页数：25

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