On Hopf algebras with cocommutative coradicals

DOI10.1016/0021-8693(91)90116-PzbMath0737.16024OpenAlexW2071553747MaRDI QIDQ1180658

Akira Masuoka

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90116-p

zbMATH Keywords

centerHopf algebraantipodeactioncomodulecoradicalleft \(H\)-module algebrasquotient left \(H\)-module coalgebrasright coideal subalgebras

Mathematics Subject Classification ID

Related Items (32)

On the even powers of the antipode of a finite-dimensional Hopf algebra ⋮ Flatness over PI coideal subalgebras ⋮ On the notion of exact sequence: From Hopf algebras to tensor categories ⋮ Crossed products for pointed hopf algebras ⋮ Jordan-Hölder theorem for finite dimensional Hopf algebras ⋮ Plane curves which are quantum homogeneous spaces ⋮ Affine commutative-by-finite Hopf algebras ⋮ Lifting via cocycle deformation. ⋮ Twisted Calabi-Yau property of right coideal subalgebras of quantized enveloping algebras ⋮ Genaralization fo cleft comodule algabras ⋮ Hopf module duality applied to X-outer Galois theory. ⋮ A module structure on Hochschild cohomology of coideal subalgebras ⋮ A remark on the Galois-type correspondence between ideal coideals and comodule subrings of a Hopf algebroid ⋮ Rigid dualizing complexes over quantum homogeneous spaces. ⋮ Projectivity of Hopf algebras over subalgebras with semilocal central localizations ⋮ Existence of a unique maximal subcoalgebra whose action is inner ⋮ On the adjoint representation of a hopf algebra ⋮ Unifying Hopf modules ⋮ On the classification of finite-dimensional pointed Hopf algebras. ⋮ Actions of Hopf Algebras in Categories of Yetter-Drinfeld Modules ⋮ The nodal cubic and quantum groups at roots of unity ⋮ Flatness of Noetherian Hopf algebras over coideal subalgebras ⋮ The Noether problem for Hopf algebras ⋮ Quantum homogeneous spaces with faithfully flat module structures ⋮ Prime ideals in Hopf Galois extensions ⋮ Galois correspondences for Hopf bigalois extensions ⋮ The fundamental correspondences in super affine groups and super formal groups. ⋮ Projectivity and freeness over comodule algebras ⋮ A Galois-type correspondence theory for actions of finite-dimensional pointed Hopf algebras on prime algebras ⋮ A Skolem-Noether theorem for coalgebra measurings ⋮ Principal homogeneous spaces for arbitrary Hopf algebras ⋮ Quantum homogeneous spaces of connected Hopf algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Principal homogeneous spaces for arbitrary Hopf algebras
• A Hopf algebraic approach to the Picard-Vessiot theory
• Relative Hopf modules - equivalences and freeness criteria
• Existence of a unique maximal subcoalgebra whose action is inner
• Reflexivity and coalgebras of finite type
• A correspondence between bi-ideals and sub-Hopf algebras in cocommutative Hopf algebras
• Freeness (projectivity) criteria for Hopf algebras over Hopf subalgebras
• Théorie de la descente et algèbres d'Azumaya
• Free Hopf algebras generated by coalgebras
• Crossed Products and Inner Actions of Hopf Algebras
• The Predual Theorem to the Jacobson-Bourbaki Theorem
• Formal schemes over fields^∗
• Cohomology of Algebras Over Hopf Algebras

This page was built for publication: On Hopf algebras with cocommutative coradicals