Partial $*$-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups

Kenny De Commer; Johan Konings

doi:10.1016/j.jalgebra.2023.07.003

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arXiv · 2204.02900

Partial $*$-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups

Kenny De Commer·Johan Konings

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Abstract

We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele and Wang. At the same time, it generalizes the notion of partial compact quantum group as introduced by De Commer and Timmermann. As an application, we show that the Drinfeld double of a partial compact quantum group can be defined as a partial $*$-algebraic quantum group.

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Kenny De Commer, Johan Konings. 2022-04-06. Partial $*$-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups. https://doi.org/10.1016/j.jalgebra.2023.07.003

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