A. V. Daele

activity

19982026

most citedNotes on Compact Quantum Groups

134 citations · 274 across the 23 of their papers we have counts for

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Showing math.QAShow all

6 papers · 1 filter

math.QA2026

The discrete quantum group $s u_{q} (2)$ and its dual

Alfons Van Daele

Discrete quantum groups were introduced as duals of compact quantum groups by Podleś and Woronowicz in 1990. They have been studied intrinsically by Effros and Ruan (1994) and by t…

math.QA2024★ 1 cited

Reflections on the Larson-Sweedler theorem for (weak) multiplier Hopf algebras

Alfons Van Daele

Let $A$ be an algebra with identity and $Δ : A \to A \otimes A$ a coproduct that admits a counit. If there exist a faithful left integral and a faithful right integral, one can constru…

math.QA2022

Finite quantum hypergroups

Magnus B. Landstad, Alfons Van Daele

A finite quantum hypergroup is a finite-dimensional unital algebra $A$ over the field of complex numbers. There is a coproduct on $A$ , a coassociative map from $A$ to $A \otimes A$ …

math.QA2007

Locally compact quantum groups. Radford's $S^{4}$ formula

A. Van Daele

Let $A$ be a finite-dimensional Hopf algebra. The left and the right integrals on $A$ are related by means of a distinguished group-like element $δ$ of $A$ . Similarly, there is thi…

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 $p, q \in G$ ,…

math.QA1998★ 2 cited

Actions of Multiplier Hopf Algebras

B. Drabant, A. Van Daele, Y. Zhang

For an action $α$ of a group $G$ on an algebra $R$ (over $C$ ), the crossed product $R \times_{α} G$ is the vector space of $R$ -valued functions with finite support in $G$ , togethe…