Partial algebraic quantum groups and their Drinfeld doubles

Abstract: In this talk, we will define partial algebraic quantum groups, which are special cases of weak multiplier Hopf algebras, as introduced by Van Daele and Wang. At the same time, they provide a generalization to the notion of a partial compact quantum group, as introduced by De Commer and Timmermann. The main aim of the talk will be to realize the Drinfeld double of a partial compact quantum group as a partial algebraic quantum group. This talk is based on joint work with K. De Commer.

category theoryoperator algebrasquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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