Geodesic
Quasitriangular Hom-Hopf algebras
Yuanyuan Chen 1   ; Zhongwei Wang 2   ; Liangyun Zhang 1
1 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China
2 Department of Basic Science Jinling Institute of Technology Nanjing 210069, P.R. China
Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 67-88 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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A twisted generalization of quasitriangular Hopf algebras called quasitriangular Hom-Hopf algebras is introduced. We characterize these algebras in terms of certain morphisms. We also give their equivalent description via a braided monoidal category $\widetilde{\mathcal{H}}(_H\mathcal {M})$. Finally, we study the twisting structure of quasitriangular Hom-Hopf algebras by conjugation with Hom-2-cocycles.
DOI : 10.4064/cm137-1-5
Keywords: twisted generalization quasitriangular hopf algebras called quasitriangular hom hopf algebras introduced characterize these algebras terms certain morphisms their equivalent description via braided monoidal category widetilde mathcal mathcal finally study twisting structure quasitriangular hom hopf algebras conjugation hom cocycles

Yuanyuan Chen  1   ; Zhongwei Wang  2   ; Liangyun Zhang  1

1 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China
2 Department of Basic Science Jinling Institute of Technology Nanjing 210069, P.R. China 
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Yuanyuan Chen; Zhongwei Wang; Liangyun Zhang. Quasitriangular Hom-Hopf algebras. Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 67-88. doi: 10.4064/cm137-1-5

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