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On the classification of finite-dimensional pointed Hopf algebras

N. Andruskiewitsch·H. -J. Schneider
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Abstract

We classify finite-dimensional complex Hopf algebras $A$ which are pointed, that is, all of whose irreducible comodules are one-dimensional, and whose group of group-like elements $G(A)$ is abelian such that all prime divisors of the order of $G(A)$ are $>7$. 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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BibTeXRIS

N. Andruskiewitsch, H. -J. Schneider. 2006-02-10. On the classification of finite-dimensional pointed Hopf algebras. https://arxiv.org/abs/math/0502157

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