Lifting via cocycle deformation
  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. 
Nicol\'as Andruskiewitsch, Iv\'an Angiono, Agust\'in Garc\'ia   Iglesias, Akira Masuoka and Cristian Vay
math.QA math.RA