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We show that any finite-dimensional pointed Hopf algebra over an abelian group such that its infinitesimal braiding i s of stan- dard type is generated by group-like and skew-primitive elements. This fact agrees with the long-standing conjecture by Andruskiewitsch and Schneider. We also show that the quantum Serre relations hold in any coradically graded pointed Hopf algebra over of finite dime nsion and determine how these relations are lifted in the standard case.

Pointed Hopf algebras with standard braiding are generated in degree one