A class of Drinfeld doubles that are ribbon algebras.

DOI10.1016/j.jalgebra.2008.05.021zbMath1163.16025arXiv0708.2685OpenAlexW2022347327MaRDI QIDQ950218

Sebastian Burciu

Publication date: 22 October 2008

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

Full work available at URL: https://arxiv.org/abs/0708.2685

zbMATH Keywords

quantum groupsribbon categoriesDrinfeld doublesliftingsquasitriangular Hopf algebrasTaft algebraspointed Hopf algebrasgrouplike elementsribbon elementsribbon Hopf algebras

Mathematics Subject Classification ID

Related Items (3)

Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. ⋮ Yetter-Drinfeld modules under cocycle twists. ⋮ On finite dimensional Nichols algebras of diagonal type

Cites Work

• A necessary and sufficient condition for a finite-dimensional Drinfel'd double to be a ribbon Hopf algebra
• Finite-dimensional Hopf algebras of rank one in characteristic zero.
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Finite quantum groups and Cartan matrices
• Ribbon graphs and their invariants derived from quantum groups
• Two-parameter quantum groups and Drinfel'd doubles.
• Constructing pointed Hopf algebras by Ore extensions
• Invariants of 3-manifolds via link polynomials and quantum groups
• Invariants of Links and 3-Manifolds Obtained from Hopf Algebras
• Frobenius extensions of subalgebras of Hopf algebras
• Hopf algebras of types 𝑈_{𝑞}(𝑠𝑙_{𝑛})’ and 𝑂_{𝑞}(𝑆𝐿_{𝑛})’ which give rise to certain invariants of knots, links and 3-manifolds
• PBW-bases of quantum groups.
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