Yetter-Drinfeld category for the quasi-Turaev group coalgebra

Daowei Lu; Shuanhong Wang

Yetter-Drinfeld category for the quasi-Turaev group coalgebra

Rings and Algebras 2015-07-16 v1

Authors: Daowei Lu , Shuanhong Wang

Abstract

Let $\pi$ be a group. The aim of this paper is to construct the category of Yetter-Drinfeld modules over the quasi-Turaev group coalgebra $H=(\{H_\a\}_{\a\in\pi},\Delta,\varepsilon,S,\Phi)$ , and prove that this category is isomorphic to the center of the representation category of $H$ . Therefore a new Turaev braided group category is constructed.

Keywords

Yetter-Drinfeld module quasi-Turaev group coalgebra representation category center of category braided group category group coalgebra

Cite

@article{arxiv.1507.04195,
  title  = {Yetter-Drinfeld category for the quasi-Turaev group coalgebra},
  author = {Daowei Lu and Shuanhong Wang},
  journal= {arXiv preprint arXiv:1507.04195},
  year   = {2015}
}

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