On Graded Bialgebra Deformations

Abstract

We introduce the graded bialgebra deformations, which explain Andruskiewitsch-Schneider's liftings method. We also relate this graded bialgebra deformation with the corresponding graded bialgebra cohomology groups, which is the graded version of the one due to Gerstenhaber-Schack.

Presented in AsiaLink Conference and Mistakes changed. To appear in Alg. Collo