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Pointed Hopf Algebras with Triangular Decomposition -- A Characterization of Multiparameter Quantum Groups

Pointed Hopf Algebras with Triangular Decomposition -- A Characterization of Multiparameter Quantum Groups

In this paper, we present an approach to the definition of multiparameter quantum groups by studying Hopf algebras with triangular decomposition. Classifying all of these Hopf algebras which are of what we call weakly separable type over a group, we obtain a class of pointed Hopf algebras which can be …