1 citations · 3 across the 6 of their papers we have counts for
6 papers
Bicrossproducts of algebraic quantum groups
Lydia Delvaux, Alfons Van Daele, Shuanhong Wang
Let and be two algebraic quantum groups (i.e. multiplier Hopf algebras with integrals). Assume that is a right -module algebra and that is a left -comodule co…
Bicrossproducts of multiplier Hopf algebras
Lydia Delvaux, Alfons Van Daele, Shuanhong Wang
In this paper, we generalize Majid's bicrossproduct construction. We start with a pair (A,B) of two regular multiplier Hopf algebras. We assume that B is a right A-module algebra a…
Algebraic Quantum Hypergroups
L. Delvaux, A. Van Daele
An algebraic quantum group is a multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of…
Quasitriangular (G-cograded) multiplier Hopf algebras
Lydia Delvaux, Alfons Van Daele, Shuanhong Wang
We put the known results on the antipode of a usual quasitriangular Hopf algebra into the framework of multiplier Hopf algebras. We illustrate with examples which can not be obtain…
The Drinfel'd double for group-cograded multiplier Hopf algebras
L. Delvaux, A. Van Daele
Let be any group and let denote the multiplier Hopf algebra of complex functions with finite support in . The product in is pointwise. The comultiplication on…
Group-cograded multiplier Hopf (*-)algebras
A. T. Abd El-hafez, L. Delvaux, A. Van Daele
Let be a group and assume that is a family of algebras with identity. We have a {\it Hopf -coalgebra} (in the sense of Turaev) if, for each pair ,…