Classification of Hopf algebras of dimension 18.

DOI10.1007/s11856-008-1059-1zbMath1163.16028OpenAlexW2069237017MaRDI QIDQ1001421

Daijiro Fukuda

Publication date: 17 February 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-1059-1

zbMATH Keywords

coradical filtrationsfinite-dimensional Hopf algebraspointed Hopf algebrasHopf algebras of dimension 18

Mathematics Subject Classification ID

Related Items (5)

HOPF ALGEBRAS OF DIMENSION 30 ⋮ Almost involutive Hopf-Ore extensions of low dimension ⋮ Some advances about the existence of compact involutions in semisimple Hopf algebras ⋮ Techniques for Classifying Hopf Algebras and Applications to Dimensionp³ ⋮ A survey of Hopf algebras of low dimension.

Cites Work

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• On Hopf algebras of dimension \(p^3\).
• Hopf algebras of low dimension
• Non-semisimple Hopf algebras of dimension \(p^2\).
• Hopf algebras of dimension 12
• On Hopf algebras of dimension \(pq\).
• Hopf algebras of dimension \(pq\).
• STRUCTURE OF CORADICAL FILTRATION AND ITS APPLICATION TO HOPF ALGEBRAS OF DIMENSIONpq
• HOPF ALGEBRAS OF DIMENSION 14
• Hopf algebras of dimension $2p$
• Counting arguments for Hopf algebras of low dimension

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