arXiv subjects

Johan Konings

Publications and source records attributed to Johan Konings.

2 recordsLinked to original sources

arXiv2024

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

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.

math.QA↗

arXiv2018

A correspondence between homogeneous and Galois coactions of Hopf algebras

A coaction of a Hopf algebra on a unital algebra is called homogeneous if the algebra of coinvariants equals the ground field. A coaction of a Hopf algebra on a (not necessarily unital) algebra is called Galois, or principal, or free, if the canonical map, also known as the Galois map, is bijective. In this paper, we establish a duality between a particular class of homogeneous coactions, up to equivariant Morita equivalence, and Galois coactions, up to isomorphism.

math.QA↗