Quasitriangular Hom-Hopf algebras
Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 67-88
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
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
Affiliations des auteurs :
Yuanyuan Chen 1 ; Zhongwei Wang 2 ; Liangyun Zhang 1
@article{10_4064_cm137_1_5,
author = {Yuanyuan Chen and Zhongwei Wang and Liangyun Zhang},
title = {Quasitriangular {Hom-Hopf} algebras},
journal = {Colloquium Mathematicum},
pages = {67--88},
publisher = {mathdoc},
volume = {137},
number = {1},
year = {2014},
doi = {10.4064/cm137-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm137-1-5/}
}
TY - JOUR AU - Yuanyuan Chen AU - Zhongwei Wang AU - Liangyun Zhang TI - Quasitriangular Hom-Hopf algebras JO - Colloquium Mathematicum PY - 2014 SP - 67 EP - 88 VL - 137 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm137-1-5/ DO - 10.4064/cm137-1-5 LA - en ID - 10_4064_cm137_1_5 ER -
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
Cité par Sources :