Quasitriangular Hom-Hopf algebras

Yuanyuan Chen; Zhongwei Wang; Liangyun Zhang

Colloquium Mathematicae (2014)

  • Volume: 137, Issue: 1, page 67-88
  • ISSN: 0010-1354

Abstract

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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 ̃ ( H ) . Finally, we study the twisting structure of quasitriangular Hom-Hopf algebras by conjugation with Hom-2-cocycles.

How to cite

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Yuanyuan Chen, Zhongwei Wang, and Liangyun Zhang. "Quasitriangular Hom-Hopf algebras." Colloquium Mathematicae 137.1 (2014): 67-88. <http://eudml.org/doc/283832>.

@article{YuanyuanChen2014,
abstract = {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.},
author = {Yuanyuan Chen, Zhongwei Wang, Liangyun Zhang},
journal = {Colloquium Mathematicae},
keywords = {quasitriangular Hom-Hopf algebras; braided monoidal categories; Hom-2-cocycles; twistings},
language = {eng},
number = {1},
pages = {67-88},
title = {Quasitriangular Hom-Hopf algebras},
url = {http://eudml.org/doc/283832},
volume = {137},
year = {2014},
}

TY - JOUR
AU - Yuanyuan Chen
AU - Zhongwei Wang
AU - Liangyun Zhang
TI - Quasitriangular Hom-Hopf algebras
JO - Colloquium Mathematicae
PY - 2014
VL - 137
IS - 1
SP - 67
EP - 88
AB - 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.
LA - eng
KW - quasitriangular Hom-Hopf algebras; braided monoidal categories; Hom-2-cocycles; twistings
UR - http://eudml.org/doc/283832
ER -

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