Duals of pointed Hopf algebras

DOI10.1016/S0021-8693(03)00034-6zbMath1025.16016arXivmath/0202091OpenAlexW3102328120MaRDI QIDQ1810552

Beattie, Margaret

Publication date: 9 June 2003

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

Full work available at URL: https://arxiv.org/abs/math/0202091

zbMATH Keywords

dual Hopf algebrasYetter-Drinfeld modulesDrinfeld doublescoradicalspointed Hopf algebrasNichols algebrasbiproducts

Mathematics Subject Classification ID

Related Items (17)

Pointed hopf algebras with large coradical ⋮ Verma and simple modules for quantum groups at non-abelian groups ⋮ The isolated quantum group of the \(\mathrm{GL}_2\) family ⋮ Basic quasi-Hopf algebras over cyclic groups. ⋮ Quantum lines over non-cocommutative cosemisimple Hopf algebras. ⋮ On actions of Drinfel'd doubles on finite dimensional algebras ⋮ EXAMPLES OF POINTED COLOR HOPF ALGEBRAS ⋮ Corrigendum to ``Duals of pointed Hopf algebras. ⋮ The R-matrix of quantum doubles of Nichols algebras of diagonal type ⋮ On Hopf algebras over quantum subgroups ⋮ Hopf algebras of dimension 16. ⋮ Representations of pointed Hopf algebras and their Drinfel'd quantum doubles. ⋮ Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups ⋮ On the restricted Jordan plane in odd characteristic ⋮ Pointed braided tensor categories ⋮ Classification of finite-dimensional Hopf algebras over dual Radford algebras ⋮ A survey of Hopf algebras of low dimension.

Cites Work

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• A necessary and sufficient condition for a finite-dimensional Drinfel'd double to be a ribbon Hopf algebra
• Biinvertible actions of Hopf algebras
• Pointed Hopf algebras and Kaplansky's 10th conjecture
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Finite quantum groups and Cartan matrices
• A freeness theorem for Nichols algebras
• On finite quantum groups at \(-1\).
• Lifting of Nichols algebras of type \(B_2\). (With an appendix ``A generalization of the \(q\)-binomial theorem with I. Rutherford).
• Quasitriangular pointed Hopf algebras constructed by Ore extensions.
• Constructing pointed Hopf algebras by Ore extensions
• Minimal quasitriangular Hopf algebras
• Defending the negated Kaplansky conjecture
• On cotriangular Hopf algebras
• CLEFT EXTENSIONS FOR A CLASS OF POINTED HOPF ALGEBRAS CONSTRUCTED BY ORE EXTENSIONS
• On a coradical of a finite-dimensional Hopf algebra
• Bialgebras of type one^*
• Quasitriangular structures for some pointed hopf algebras of dimension 2ⁿ
• Pointed hopf algebras of dimension 32
• The Coradical Filtration for Quantized Enveloping Algebras
• Classifying pointed hopf algebras of dimension 16
• An isomorphism theorem for ore extension hopf algebras
• Introduction to quantum groups
• Classification of semisimple Hopf algebras of dimension 16
• Triangular Hopf algebras with the Chevalley property

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