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On finite-dimensional Hopf algebras

2014/03/31 by Nicolás Andruskiewitsch, Andruskiewitsch, Nicolás · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.1403.7838

Abstract

This is a survey on the state-of-the-art of the classification of finite-dimensional complex Hopf algebras. This general question is addressed through the consideration of different classes of such Hopf algebras. Pointed Hopf algebras constitute the class best understood; the classification of those with abelian group is expected to be completed soon and there is substantial progress in the non-abelian case.

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