Techniques for Classifying Hopf Algebras and Applications to Dimensionp3

DOI10.1080/00927872.2012.692004zbMath1279.16025arXiv1108.6037OpenAlexW2014444375WikidataQ105627899 ScholiaQ105627899MaRDI QIDQ2842703

Gastón Andrés García, Beattie, Margaret

Publication date: 16 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.6037

zbMATH Keywords

finite-dimensional Hopf algebraspointed Hopf algebrasnon-semisimple Hopf algebrasHopf algebras of small dimension

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (5)

Diagrams of Hopf algebras with the Chevalley property ⋮ Classification of pointed Hopf algebras of dimension \(p^2\) over any algebraically closed field. ⋮ Classification of connected Hopf algebras of dimension \(p^3\). I. ⋮ Nonsemisimple Hopf algebras of dimension 8𝑝 with the Chevalley property ⋮ Isomorphism classes of finite dimensional connected Hopf algebras in positive characteristic.

Cites Work

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• Non-semisimple Hopf algebras of dimension \(p^2\).
• Hopf algebras of dimension 12
• On Hopf algebras of dimension \(pq\).
• Semisimple Hopf algebras of dimension \(6\), \(8\)
• Self-dual Hopf algebras of dimension \(p^ 3\) obtained by extension
• Semisimple Cosemisimple Hopf Algebras
• HOPF ALGEBRAS OF DIMENSION 14
• The $p^n$ theorem for semisimple Hopf algebras
• HOPF ALGEBRAS OF DIMENSION 30
• Hopf algebras of dimension 16.

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