Quasitriangular Hom-Hopf algebras
Yuanyuan Chen ; Zhongwei Wang ; Liangyun Zhang
Colloquium Mathematicae, Tome 135 (2014), p. 67-88 / Harvested from The Polish Digital Mathematics Library
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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 ̃(Hℳ). Finally, we study the twisting structure of quasitriangular Hom-Hopf algebras by conjugation with Hom-2-cocycles.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:283832 
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     author = {Yuanyuan Chen and Zhongwei Wang and Liangyun Zhang},
     title = {Quasitriangular Hom-Hopf algebras},
     journal = {Colloquium Mathematicae},
     volume = {135},
     year = {2014},
     pages = {67-88},
     zbl = {1336.16031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-1-5}
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Yuanyuan Chen; Zhongwei Wang; Liangyun Zhang. Quasitriangular Hom-Hopf algebras. Colloquium Mathematicae, Tome 135 (2014) pp. 67-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-1-5/