Hopf–Galois extensions for monoidal Hom-Hopf algebras

DOI10.4064/cm6615-12-2015zbMath1349.16037arXiv1409.5184OpenAlexW2963312522MaRDI QIDQ2787122

Liang-yun Zhang, Yuan-yuan Chen

Publication date: 24 February 2016

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5184

zbMATH Keywords

Hopf-Galois extensionmonoidal Hom-Hopf algebrasaffineness theorem

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (5)

Separable extensions for crossed products over monoidal Hom-Hopf algebras ⋮ Drinfeld twists for monoidal Hom-bialgebras ⋮ The affineness criterion for quantum Hom-Yetter–Drinfel’d modules ⋮ Wedderburn–Malcev and Levi theorems for weak Hopf algebras ⋮ Some remarks about monoidal Hom-algebras

Cites Work

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• On hom-algebras with surjective twisting
• Hom-Lie superalgebras and Hom-Lie admissible superalgebras
• Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Hom-Lie algebra structures on semi-simple Lie algebras
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• The fundamental theorem and Maschke’s theorem in the category of relative Hom-Hopf modules
• The FRT-type Theorem for the Hom–Long Equation
• Hom-alternative algebras and Hom-Jordan algebras
• Separable and Frobenius monoidal Hom-algebras
• Monoidal Hom–Hopf Algebras
• Hom-quantum groups: I. Quasi-triangular Hom-bialgebras
• Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
• The Hom–Yang–Baxter equation, Hom–Lie algebras, and quasi-triangular bialgebras
• Hom-algebras and homology
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• Ternary Hom–Nambu–Lie algebras induced by Hom–Lie algebras
• Integrals for monoidal Hom-Hopf algebras and their applications
• The category of Yetter-Drinfel'd Hom-modules and the quantum Hom-Yang-Baxter equation
• Flat Comodules and Perfect Coalgebras
• Quasi-Deformations of 𝔰𝔩₂(𝔽) Using Twisted Derivations

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