Quasitriangular structures of bicrossed coproducts
Let \(H\) and \(A\) be two bialgebras (Hopf algebras) coacting on each other. The tensor product \(H\otimes A\) is endowed with a bialgebra (Hopf algebra) structure, called the bicrossed coproduct of \(H\) and \(A\). An example is the dual of the Drinfeld double of a Hopf algebra. The aim of the paper is to show that the bicrossed coproduct is a quasitriangular bialgebra if and only if so are \(H\) and \(A\). Moreover, all quasitriangular structures of the bicrossed coproduct are described in terms of the ones of \(H\) and \(A\).
scientific article; zbMATH DE number 1218672