Hopf algebras of low dimension

DOI10.1006/jabr.1998.7602zbMath0918.16031OpenAlexW2066430548MaRDI QIDQ1279825

Dragoş Ştefan

Publication date: 15 June 1999

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

Full work available at URL: https://semanticscholar.org/paper/b455e713633bae3f28945ec5aa17ba68d9ee4406

zbMATH Keywords

semisimple Hopf algebrasantipodescoradicalsfinite dimensional Hopf algebraspointed Hopf algebrasquantum \(\text{SL}_2\)

Mathematics Subject Classification ID

Related Items

The construction of braided tensor categories from Hopf braces ⋮ Unnamed Item ⋮ Invariant theory of Artin-Schelter regular algebras: a survey ⋮ Radford’s theorem about Hopf braces ⋮ Quantum binary polyhedral groups and their actions on quantum planes ⋮ HOPF ALGEBRAS OF DIMENSION 30 ⋮ Quantum subgroups of \(\text{GL}_{\alpha ,\beta }(n)\) ⋮ Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra ⋮ Balanced Bilinear Forms on Matrix and Matrix-Like Coalgebras ⋮ Quantum subgroups of simple twisted quantum groups at roots of one ⋮ Hopf algebra deformations of binary polyhedral groups. ⋮ Degeneration, Rigidity and Irreducible Components of Hopf algebras ⋮ An isomorphism theorem for ore extension hopf algebras ⋮ On Hopf algebras over quantum subgroups ⋮ Hopf algebras of dimension 16. ⋮ Classification of Hopf algebras of dimension 18. ⋮ Quantum subgroups of a simple quantum group at roots of one ⋮ Hochschild cohomology and the coradical filtration of pointed coalgebras: Applications ⋮ Techniques for Classifying Hopf Algebras and Applications to Dimensionp³ ⋮ A survey of Hopf algebras of low dimension.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• Hochschild cohomology and the coradical filtration of pointed coalgebras: Applications
• Hopf algebras of order \(p^2\) and braided Hopf algebras of order \(p\)
• On antipodes in pointed Hopf algebras
• Semisimple Hopf algebras of dimension \(6\), \(8\)
• Self-dual Hopf algebras of dimension \(p^ 3\) obtained by extension
• Semisimple Cosemisimple Hopf Algebras
• A Hopf Algebra Freeness Theorem
• The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
• The hopf modules category and the hopf equation
• New types of bialgebras arising from the hopf equation
• Hopf subalgebras of pointed Hopf algebras and applications
• Semisimple hopf algebras of dimension 2p
• The $p^n$ theorem for semisimple Hopf algebras

This page was built for publication: Hopf algebras of low dimension