Computational classification of orthogonal quantum groups

Our aim is to find new examples of compact matrix quantum groups in a specific region and ideally to classify them. In particular, we are interested in the so called easy and non-easy quantum groups. We will develop the first systematic computer based experimental approach to such a problem. In addition, we will explore new links between an algebraic and an analytic perspective on a certain class of compact matrix quantum groups building a bridge between algebraic and topological quantum groups.