Pointed Hopf actions on fields. II

DOI10.1016/j.jalgebra.2016.04.017zbMath1356.16026arXiv1511.09320OpenAlexW2461321073MaRDI QIDQ296662

Chelsea Walton, Pavel I. Etingof

Publication date: 23 June 2016

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

Full work available at URL: https://arxiv.org/abs/1511.09320

zbMATH Keywords

Hopf algebra actionpointed Hopf algebrafieldfinite Cartan typeGalois-theoretical

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Galois theory and commutative ring extensions (13B05) Hopf algebras and their applications (16T05)

Related Items (9)

Gauge invariants from the powers of antipodes ⋮ Actions of Ore extensions and growth of polynomialH-identities ⋮ Actions of quantum linear spaces on quantum algebras ⋮ Pointed Hopf actions on central simple division algebras ⋮ Partial (co)actions of Taft and Nichols Hopf algebras on algebras ⋮ On actions of Drinfel'd doubles on finite dimensional algebras ⋮ Subrings of invariants for actions of finite-dimensional Hopf algebras ⋮ PRIME AND SEMIPRIME QUANTUM LINEAR SPACE SMASH PRODUCTS ⋮ Partial (co)actions of Taft and Nichols Hopf algebras on their base fields

Cites Work

• Biinvertible actions of Hopf algebras
• Finite-dimensional Hopf algebras of rank one in characteristic zero.
• Pointed Hopf actions on fields. I.
• On the classification of finite-dimensional pointed Hopf algebras.
• Nichols algebras with standard braiding
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Finite quantum groups and Cartan matrices
• Lifting of Nichols algebras of type \(B_2\). (With an appendix ``A generalization of the \(q\)-binomial theorem with I. Rutherford).
• Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent
• Nichols Algebras of Unidentified Diagonal Type
• On pointed Hopf superalgebras
• Finite quantum groups over abelian groups of prime exponent
• Liftings of Nichols Algebras of Diagonal Type I. Cartan Type A
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