Hopf bimodules are modules

被引:17
|
作者
Cibils, C [1 ]
Rosso, M
机构
[1] Univ Montpellier 2, Dept Math, F-34095 Montpellier 5, France
[2] Univ Strasbourg 1, IRMA, F-67084 Strasbourg, France
关键词
D O I
10.1016/S0022-4049(97)00060-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We construct an algebra X associated to a finite-dimensional Hopf algebra A, such that there exists a vector space-preserving equivalence of categories between the categories of Hopf bimodules over A and of left X-modules. We show that X is isomorphic to the direct tenser product of the Heisenberg double of A and the opposite of its Drinfeld double. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
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页码:225 / 231
页数:7
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