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

By Daniel Bulacu, Florin Panaite, F. van Oystaeyen. 2005

64 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bc66abeee45695b3b910906add3fdae85285fe94

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Florin Panaite
2. F. van Oystaeyen
3. Michael E. Hoffman
4. S. P. Smith
5. Edwin J. Beggs

In Geometry and Topology

1. Florin Panaite
2. F. van Oystaeyen
3. Michael E. Hoffman
4. S. P. Smith
5. Edwin J. Beggs

In Mathematical Physics

1. Florin Panaite
2. F. van Oystaeyen
3. S. P. Smith
4. Edwin J. Beggs

Citations in the corpus

• L-R-smash product for (quasi) Hopf algebras ∗ (2005, background): “Our motivation for defining the L-R-smash product in this generality comes from its relations with some constructions from [9] and [7].”
• ON ITERATED TWISTED TENSOR PRODUCTS OF ALGEBRAS (2005, background): “We recall some facts from [6].”