Classifying Hopf algebras of a given dimension

zbMath1308.16025arXiv1206.6529MaRDI QIDQ3189140

Beattie, Margaret, Gastón Andrés García

Publication date: 9 September 2014

Full work available at URL: https://arxiv.org/abs/1206.6529

zbMATH Keywords

classificationfinite-dimensional Hopf algebraspointed Hopf algebrasnonsemisimple Hopf algebras

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (11)

Diagrams of Hopf algebras with the Chevalley property ⋮ Almost involutive Hopf algebras ⋮ Almost involutive Hopf-Ore extensions of low dimension ⋮ Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra ⋮ Pointed Hopf algebras of dimension \(p^2q\) in characteristic \(p\) ⋮ Classification of pointed Hopf algebras of dimension \(p^2\) over any algebraically closed field. ⋮ Some advances about the existence of compact involutions in semisimple Hopf algebras ⋮ Classification of connected Hopf algebras of dimension \(p^3\). I. ⋮ On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property ⋮ Nonsemisimple Hopf algebras of dimension 8𝑝 with the Chevalley property ⋮ Isomorphism classes of finite dimensional connected Hopf algebras in positive characteristic.

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