Parametric representations of BiHom-Hopf algebras.

DOI10.21136/CMJ.2023.0213-22MaRDI QIDQ6584405

Xiaohui Zhang, Juzhen Chen, Wei Wang

Publication date: 7 August 2024

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

zbMATH Keywords

Drinfeld doubleBiHom-Yang-Baxter equationBiHom-Hopf algebra\(n\)-monoidal category

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Yang-Baxter equations (16T25) Hopf algebras, quantum groups and related topics (16T99)

Cites Work

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• Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra.
• Tortile Yang-Baxter operators in tensor categories
• BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras
• Quantum double for quasi-Hopf algebras
• Iterated monoidal categories
• The construction and deformation of BiHom-Novikov algebras
• The center construction for weak Hopf algebras
• Cotwists of bicomonads and BiHom-bialgebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Operads in iterated monoidal categories
• Drinfeld codoubles of Hom-Hopf algebras
• Hom-algebra structures
• Braided monoidal categories and Doi-Hopf modules for monoidal Hom-Hopf algebras
• Monoidal Functors, Species and Hopf Algebras
• Monoidal Hom–Hopf Algebras
• Hom-quantum groups: I. Quasi-triangular Hom-bialgebras
• Lazy 2-cocycles over monoidal Hom-Hopf algebras
• Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
• The Hom–Yang–Baxter equation, Hom–Lie algebras, and quasi-triangular bialgebras
• Hom-L-R-smash biproduct and the category of Hom–Yetter–Drinfel’d–Long bimodules
• Solutions of the $\mathrm{BiHom}$-Yang-Baxter equation
• BRAIDED MIXED DATUMS AND THEIR APPLICATIONS ON HOM-QUANTUM GROUPS
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• Characterization of quasi-Yetter–Drinfeld modules
• Drinfeld twists for monoidal Hom-bialgebras
• -Rota–Baxter Operators, Infinitesimal Hom-bialgebras and the Associative (Bi)Hom-Yang–Baxter Equation
• Yetter-Drinfeld modules for Hom-bialgebras
• The category of Yetter-Drinfel'd Hom-modules and the quantum Hom-Yang-Baxter equation

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