On representation of quasi-Hopf group coalgebras

Rok, strany: 2016, 63 - 72

In this paper, we give the definitions of crossed quasi-Hopf $π$-coalgebra $H$ and a crossed left $π$-$H$-modules, and show that the category of crossed left $π$-$H$-modules is a monoidal category. Finally, we show that a family $R=\{R_α,β\in H_α\otimes H_β\}$ of elements is a quasitriangular structure of a crossed quasi-Hopf $π$-coalgebra $H$ if and only if the category of crossed left $π$-$H$-modules over $H$ is a braided monoidal category with braiding defined by $R$.

ISO 690:

Guo, S. 2016. On representation of quasi-Hopf group coalgebras. In Mathematica Slovaca, vol. 66, no.1, pp. 63-72. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0115

APA:

Guo, S. (2016). On representation of quasi-Hopf group coalgebras. Mathematica Slovaca, 66(1), 63-72. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0115