Resumen de Lifting via cocycle deformation

Nicolás Andruskiewitsch, Iván Angiono, Agustín García Iglesias, Akira Masuoka, Cristian Vay

• 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.