  We describe quantum groups given by multiparametric deformations of
enveloping algebras of Kac-Moody algebras as a family of pointed Hopf algebras
introduced by Andruskiewitsch and Schneider associated to a generalized Cartan
matrix. We show that under some assumptions, these Hopf algebras depend only on
one parameter on each connected component of the Dynkin diagram, up to a
cocycle deformation. In particular, we obtain in this way a known result of Hu,
Pei and Rosso.

Quantum Algebra