A survey of Hopf algebras of low dimension.
type: Item
instance of: scholarly article
title: A survey of Hopf algebras of low dimension.
zbMATH Open document ID: 1191.16030
published in: Acta Applicandae Mathematicae
publication date: 2009-12-09T00:00:00Z
review text: Most classification results for finite dimensional Hopf algebras concern the pointed or the semisimple case, and there is no conjecture about what the structure of a general finite dimensional Hopf algebra should be. In this survey article the author summarizes results on the classification of general low dimensional Hopf algebras over an algebraically closed field of characteristic zero. The full classification is known up to dimension \(19\). Details are given for some particular cases, and the corresponding methods are discussed.
reviewed by: Sonia Natale
Mathematics Subject Classification ID: 16T05
zbMATH DE Number: 5644658
zbMATH Keywords: finite-dimensional Hopf algebras
zbMATH Keywords: semisimple Hopf algebras
zbMATH Keywords: pointed Hopf algebras
author: Margaret Beattie
MaRDI profile type: Publication
full work available at URL: s10440-008-9367-3
OpenAlex ID: W2078706504
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A survey of Hopf algebras of low dimension. (DOI)
DOI: 10.1007/S10440-008-9367-3