English

A New approach to the construction of braided T-categories

Quantum Algebra 2017-02-14 v2 Rings and Algebras

Abstract

The aim of this paper is to construct a new braided TT-category via the generalized Yetter-Drinfel'd modules and Drinfel'd codouble over Hopf algebra, an approach different from that proposed by Panaite and Staic \cite{PS}. Moreover, in the case of finite dimensional, we will show that this category coincides with the corepresentation of a certain coquasitriangular Turaev group algebra that we construct. Finally we apply our theory to the case of group algebra.

Keywords

Cite

@article{arxiv.1605.01966,
  title  = {A New approach to the construction of braided T-categories},
  author = {Daowei Lu and Miman You},
  journal= {arXiv preprint arXiv:1605.01966},
  year   = {2017}
}