Bialgebra actions, twists, and universal deformation formulas Original Research Article

We use the concept of gauge transformations of quasi-Hopf algebras to study twists of algebraic structures based on actions of a bialgebra and relate this to the theory of universal deformation formulas. We establish new universal deformation formulas which are associated to central extensions of Heisenberg Lie algebras. These formulas are generalizations of the Moyal quantization formula.