Braided monoidal categories and Doi–Hopf modules for monoidal Hom-Hopf algebras

DOI10.4064/cm6509-12-2015zbMath1367.16032arXiv1411.7127OpenAlexW2962946080MaRDI QIDQ2787119

Xiaohui Zhang, Shuang-Jian Guo, Shengxiang Wang

Publication date: 24 February 2016

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

Full work available at URL: https://arxiv.org/abs/1411.7127

zbMATH Keywords

functormonoidal categorymonoidal Hom-Hopf algebraDoi Hom-Hopf module

Mathematics Subject Classification ID

Related Items (14)

The general induction functors for the category of entwined Hom-modules ⋮ On endomorphisms of crossed products ⋮ Drinfeld codoubles of Hom-Hopf algebras ⋮ Smash coproducts of monoidal comonads and Hom-entwining structures ⋮ Total integrals of Doi Hom-Hopf modules ⋮ The affineness criterion for quantum Hom-Yetter–Drinfel’d modules ⋮ Split regular Hom-Leibniz color 3-algebras ⋮ Hom-groups, representations and homological algebra ⋮ Drinfel’d double for monoidal Hom-Hopf algebras ⋮ A monoidal structure on the category of relative Hom-Hopf modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Entwined Hom-modules and frobenius properties ⋮ Symmetric pairs and pseudosymmetries in Hom-Yetter–Drinfeld categories

Cites Work

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• The category of Yetter-Drinfel'd Hom-modules and the quantum Hom-Yang-Baxter equation
• A Maschke type theorem for relative Hom-Hopf modules

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