POINTED HOPF ACTIONS ON CENTRAL SIMPLE DIVISION ALGEBRAS

We examine actions of finite-dimensional pointed Hopf algebras on central simple division in characteristic 0. (By a action we mean module algebra structure.) In all examples considered, show that the given does admit faithful algebra, and construct such algebra. This is contrast to earlier work Etingof Walton, which it was shown most do not fields. consider bosonizations Nichols finite Cartan type, small quantum groups, generalized Taft with non-nilpotent skew primitive generators, an example non-Cartan type.