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

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• 作者：Daniel Bulacu ; Florin Panaite and Freddy Van Oystaeyen
• 刊名：Communications in Mathematical Physics
• 出版年：2006
• 出版时间：September, 2006
• 年：2006
• 卷：266
• 期：2
• 页码：355-399
• 全文大小：488 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Quantum Physics
  Quantum Computing, Information and Physics
  Complexity
  Statistical Physics
  Relativity and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0916

文摘

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.