An approach to Hopf algebras via Frobenius coordinates. II

DOI10.1016/S0022-4049(02)00069-5zbMath1020.16028arXivmath/0103019OpenAlexW2726883683MaRDI QIDQ1861454

Lars Kadison, Alexander Stolin

Publication date: 9 March 2003

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

Full work available at URL: https://arxiv.org/abs/math/0103019

zbMATH Keywords

Hopf algebrasPicard groupsDrinfeld doublesFrobenius coordinatesFrobenius extensionsseparable algebras

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

The relative modular object and Frobenius extensions of finite Hopf algebras ⋮ A note on ``Modules, comodules, and cotensor products over Frobenius algebras. ⋮ Subring depth, Frobenius extensions, and towers. ⋮ Depth Two, Normality, and a Trace Ideal Condition for Frobenius Extensions ⋮ An approach to quasi-Hopf algebras via Frobenius coordinates.

Cites Work

• Biinvertible actions of Hopf algebras
• Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
• Normal basis and transitivity of crossed products for Hopf algebras
• Antipodes and group-likes in finite Hopf algebras
• On Nakayama automorphisms of double Frobenius algebras
• On antipodes and integrals in Hopf algebras over rings and the quantum Yang-Baxter equation
• Are biseparable extensions Frobenius?
• The endomorphism ring theorem for Frobenius extensions
• On strongly separable algebras
• Quasi-Frobenius-Erweiterungen. II
• On semisimple extensions and separable extensions over non commutative rings
• Characters of Hopf algebras
• When Hopf algebras are Frobenius algebras
• On the cohomology of modules over Hopf algebras
• Über Untergruppen endlicher algebraischer Gruppen
• The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
• Frobenius extensions of subalgebras of Hopf algebras
• special type of separable algebra over a commutative ring
• An Associative Orthogonal Bilinear Form for Hopf Algebras
• On Frobenius Extensions II
• Introduction to Algebraic K-Theory. (AM-72)
• The u-Algebra of a Restricted Lie Algebra is Frobenius
• An approach to Hopf algebras via Frobenius coordinates
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