1. FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria (5000) Córdoba, Argentina;2. Institute of Mathematics, University of Tsukuba, Ibaraki 305-8571, Japan
Abstract:
We develop a strategy to compute all liftings of a Nichols algebra over a finite dimensional cosemisimple Hopf algebra. We produce them as cocycle deformations of the bosonization of these two. In parallel, we study the shape of any such lifting.