A. V. Daele

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math.QA2026

Discrete quantum groups and their duals

Alfons Van Daele

Discrete quantum groups were introduced as duals of compact quantum groups by PodleÅ and Woronowicz in 1990. Shortly after, they were defined and studied intrinsically by Effros a…

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 PodleÅ and Woronowicz in 1990. They have been studied intrinsically by Effros and Ruan (1994) and by…

math.QA2025

Algebraic quantum groups and duality I

Alfons Van Daele

Let $(A, I^)$ be a finite-dimensional Hopf algebra. The linear dual $B$ of $A$ is again a finite-dimensional Hopf algebra. The duality is given by an element $V \in B \otimes A$ , defi…

math.QA2024

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

Alfons Van Daele

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

Discrete quantum groups and their duals

The discrete quantum group suq​(2) and its dual

Algebraic quantum groups and duality I

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

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