Symmetries and the u-condition in Hom-Yetter-Drinfeld categories

DOI10.1063/1.4892081zbMath1306.16034OpenAlexW1983178066WikidataQ42835878 ScholiaQ42835878MaRDI QIDQ3189916

Shuang-Jian Guo, Shengxiang Wang

Publication date: 12 September 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4892081

zbMATH Keywords

braided monoidal categoriesquasitriangular Hopf algebrassymmetric categoriescoquasitriangular Hopf algebrasmonoidal Hom-Hopf algebrasHom-Yetter-Drinfeld categoriesHom-Yetter-Drinfeld modules

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30) Hopf algebras and their applications (16T05)

Related Items

Hom-Yang-Baxter equations and Hom-Yang-Baxter systems ⋮ Symmetries of (m,n)-Yetter–Drinfeld categories ⋮ The general induction functors for the category of entwined Hom-modules ⋮ Central invariants and enveloping algebras of braided Hom-Lie algebras ⋮ Symmetric pairs and pseudosymmetry of \(\Theta\)-Yetter-Drinfeld categories for Hom-Hopf algebras ⋮ BiHom-Lie superalgebra structures and BiHom-Yang-Baxter equations ⋮ Drinfeld codoubles of Hom-Hopf algebras ⋮ Symmetry and pseudosymmetry of v-Yetter–Drinfeld categories for Hom–Hopf algebras ⋮ Symmetries and theu-condition in weak monoidal Hom–Yetter–Drinfeld categories ⋮ Relative Hom-Hopf modules and total integrals ⋮ On unified Hom-Yetter-Drinfeld categories ⋮ Braided monoidal categories and Doi–Hopf modules for monoidal Hom-Hopf algebras ⋮ The affineness criterion for quantum Hom-Yetter–Drinfel’d modules ⋮ Drinfel’d double for monoidal Hom-Hopf algebras ⋮ Entwined Hom-modules and frobenius properties ⋮ Symmetric pairs and pseudosymmetries in Hom-Yetter–Drinfeld categories

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