Generalized Diagonal Crossed Products and Smash Products for Quasi-Hopf Algebras. Applications

被引：0
作者：
Daniel Bulacu
Florin Panaite
Freddy Van Oystaeyen
机构：
[1] University of Bucharest,Faculty of Mathematics and Informatics
[2] Romanian Academy,Institute of Mathematics
[3] University of Antwerp,Department of Mathematics and Computer Science
来源：
Communications in Mathematical Physics | 2006年 / 266卷
关键词：
Hopf Algebra; Associative Algebra; Monoidal Category; Algebra Isomorphism; Module Algebra;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we introduce generalizations of diagonal crossed products, two-sided crossed products and two-sided smash products, for a quasi-Hopf algebra H. The results we obtain may then be applied to H*-Hopf bimodules and generalized Yetter-Drinfeld modules. The generality of our situation entails that the “generating matrix” formalism cannot be used, forcing us to use a different approach. This pays off because as an application we obtain an easy conceptual proof of an important but very technical result of Hausser and Nill concerning iterated two-sided crossed products.
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页码：355 / 399
页数：44
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