On quasi-bicrossed products of weak Hopf algebras.
Bicrossed products are fundamental tools for constructing the quantum double of a Hopf algebra. The author studies quasi-bicrossed products which play a similar part for the quantum quasi-double of certain weak Hopf algebras. Conditions for quasi-bicrossed products to possess the structure of almost weak Hopf algebras are discussed, with the special case of a smash product. Some properties of the quantum quasi-double and of the quasi \(R\)-isomorphism are also given as well as a representation theoretic interpretation.
scientific article; zbMATH DE number 2119048