Year: 2014
Author: Shuangjian Guo, Lihong Dong
Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 320–328
Abstract
Let $_H\mathcal{L}^B$ be the category of generalized Long modules, that is, $H$-modules and $B$-comodules over Hopf algebras $B$ and $H$. We describe a new Turaev braided group category over generalized Long module $_H\mathcal{L}^B(\mathcal{F} (π))$ where the opposite group $\mathcal{F} (π)$ of the semidirect product of the opposite group $π^{op}$ of a group $π$ by $π$. As an application, we show that this is a Turaev braided group-category $_H\mathcal{L}^B$ for a quasitriangular Turaev group-coalgebra $H$ and a coquasitriangular Turaev group-algebra $B$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2014.04.05
Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 320–328
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Turaev braided group category generalized Long module Turaev group-(co)algebra (co)quasitriangular structure.