On Hopf algebras over quantum subgroups

DOI10.1016/j.jpaa.2018.04.018zbMath1446.16034arXiv1605.03995OpenAlexW2392240943WikidataQ105627891 ScholiaQ105627891MaRDI QIDQ1789664

Gastón Andrés García, João Matheus Jury Giraldi

Publication date: 10 October 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03995

zbMATH Keywords

finite-dimensional Hopf algebraslifting method

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (15)

Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$ ⋮ The Grothendieck ring of Yetter-Drinfeld modules over a class of 2n²-dimensional Kac-Paljutkin Hopf algebras ⋮ Projective class rings of the category of Yetter-Drinfeld modules over the 2-rank taft algebra ⋮ On Hopf algebras over basic Hopf algebras of dimension 24 ⋮ On Nichols algebras over basic Hopf algebras ⋮ Finite-dimensional Hopf algebras over the Hopf algebra \(H_{d:-1,1}\) of Kashina ⋮ Finite-dimensional Hopf algebras over the Hopf algebra \(H_{b:1}\) of Kashina ⋮ Nichols algebras that are quantum planes ⋮ On finite dimensional Nichols algebras of diagonal type ⋮ Quantum function algebras from finite-dimensional Nichols algebras ⋮ On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property ⋮ Finite-dimensional Nichols algebras over dual Radford algebras ⋮ Nonsemisimple Hopf algebras of dimension 8𝑝 with the Chevalley property ⋮ Classification of finite-dimensional Hopf algebras over dual Radford algebras ⋮ On some classification of finite-dimensional Hopf algebras over the Hopf algebra Hb:1* of Kashina

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nichols algebras over groups with finite root system of rank two. I.
• Biinvertible actions of Hopf algebras
• Triangular braidings and pointed Hopf algebras.
• Hopf algebras of low dimension
• Representations of finite-dimensional Hopf algebras
• A freeness theorem for Nichols algebras
• Duals of pointed Hopf algebras
• On the structure of (co-Frobenius) Hopf algebras.
• On a coradical of a finite-dimensional Hopf algebra
• Hopf algebras of dimension 16.

This page was built for publication: On Hopf algebras over quantum subgroups