A Maschke type theorem for relative Hom-Hopf modules

DOI10.1007/s10587-014-0132-7zbMath1337.16025arXiv1411.7204OpenAlexW1969999492MaRDI QIDQ5496697

Xiuli Chen, Shuang-Jian Guo

Publication date: 27 January 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7204

zbMATH Keywords

monoidal categoriessplitting sequencestotal integralsseparable functorsMaschke type theoremsmonoidal Hom-Hopf algebrasrelative Hom-Hopf modules

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items

The general induction functors for the category of entwined Hom-modules ⋮ Solutions of the $\mathrm{BiHom}$-Yang-Baxter equation ⋮ Relative Hom-Hopf modules and total integrals ⋮ Separable functors for the category of Doi Hom-Hopf modules ⋮ Braided monoidal categories and Doi–Hopf modules for monoidal Hom-Hopf algebras ⋮ Total integrals of Doi Hom-Hopf modules ⋮ The factorization for a class of Hom-coalgebras ⋮ The affineness criterion for quantum Hom-Yetter–Drinfel’d modules ⋮ A monoidal structure on the category of relative Hom-Hopf modules ⋮ Entwined Hom-modules and frobenius properties

Cites Work

• Unnamed Item
• On Hom-type algebras
• Hopf extensions of algebras and Maschke type theorems
• Relative Hopf modules - equivalences and freeness criteria
• Separable functors for the category of Doi-Hopf modules, applications
• Deformations of Lie algebras using \(\sigma\)-derivations
• Hom-algebra structures
• Monoidal Hom–Hopf Algebras
• On the structure of relative hopf modules
• HOM-ALGEBRAS AND HOM-COALGEBRAS