More examples of bicrossproduct and double cross product Hopf algebras

We construct examples of bicrossproducts and double cross products of quantum groupsă(R) associated to general matrix solutionsR of the Quantum Yang-Baxter Equations. We also describe iterated double cross products of quantum groups. In the course of constructingă(R) we are led to introduce a suitable notion of mutually dual Hopf algebras and a dual quantum groupŬ(R). Work supported by SERC Research Assistantship.