On the classification of graded pointed coquasi-Hopf algebras over finite abelian groups.

We will recall the related results, especially the classification of such finite-dimensional graded coquasi-Hopf algebras of diagonal type. Recently, we proved that we can reduce the undiagonal type to diagonal type and thus get the classification of any finite-dimensional graded pointed coquasi-Hopf algebras over finite abelian groups. But the reduction procedure is quite complicated, and we give a more direct way here.