A Class of Quasitriangular Group-Cograded Multiplier Hopf Algebras

Abstract

For a multiplier Hopf algebra pairing A, B , we construct a class of group-cograded multiplier Hopf algebras D(A, B), generalizing the classical construction of finite dimensional Hopf algebras introduced by Panaite and Staic Mihai [7]. Furthermore, if the multiplier Hopf algebra pairing admits a canonical multiplier in M (B ⊗ A) we show the existence of quasitriangular structure on D(A, B). As an application, some special cases and examples are provided.