Small Quantum Groups and the Classification of Pointed Hopf Algebras Nicolás Andruskiewitsch and Hans-jürgen Schneider
نویسنده
چکیده
In this paper we apply the theory of the quantum groups Uq(g), and of the small quantum groups uq(g) for q a root of unity, g a semisimple complex Lie algebra, to obtain a classification result for an abstractly defined class of Hopf algebras. Since these Hopf algebras turn out to be deformations of a natural class of generalized small quantum groups, our result can be read as an axiomatic description of generalized small quantum groups.
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