Gleb PODKOLZIN
National Technical University of Ukraine (KPI),
37 Pobedy Avenue, Kyiv, UKRAINE

On 2+2 locally compact quantum groups

Abstract:
Using the construction of a cocycle bicrossed product, due to G.I. Kac and developed further by M. Takeuchi, S. Majid, L.I. Vainerman and S. Vaes, we obtain new examples of locally compact quantum groups from considering matched pairs of two-dimensional Lie subalgebras of a four dimensional Lie algebra.