Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications

被引：29
|
作者：
Bulacu, Daniel
Panaite, Florin
Van Oystaeyen, Freddy
机构：
[1] Univ Bucharest, Fac Math & Informat, RO-70109 Bucharest 1, Romania
[2] Romanian Acad, Inst Math, RO-014700 Bucharest, Romania
[3] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2006年 / 266卷 / 02期
关键词：
D O I：
10.1007/s00220-006-0051-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
引用
收藏
页码：355 / 399
页数：45
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