L. Delvaux

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math.QA2004

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…

math.QA2004

The Drinfel'd double for group-cograded multiplier Hopf algebras

L. Delvaux, A. Van Daele

Let $G$ be any group and let $K (G)$ denote the multiplier Hopf algebra of complex functions with finite support in $G$ . The product in $K (G)$ is pointwise. The comultiplication on…

math.QA2004

Group-cograded multiplier Hopf (*-)algebras

A. T. Abd El-hafez, L. Delvaux, A. Van Daele

Let $G$ be a group and assume that $(A_{p})_{p \in G}$ is a family of algebras with identity. We have a {\it Hopf $G$ -coalgebra} (in the sense of Turaev) if, for each pair $p, q \in G$ ,…