On Categories associated to a Quasi-Hopf algebra

Štefan Sakáloš

On Categories associated to a Quasi-Hopf algebra

Quantum Algebra 2014-02-14 v2

Authors: Štefan Sakáloš

Abstract

A quasi-Hopf algebra $H$ can be seen as a commutative algebra $A$ in the centre $\mathcal Z(H-Mod)$ of $H-Mod$ . We show that the category of $A$ -modules in $\mathcal Z(H-Mod)$ is equivalent (as a monoidal category) to $H-Mod$ . This can be regarded as a generalization of the structure theorem of Hopf bimodules of a Hopf algebra to the quasi-Hopf setting.

Keywords

quasi-hopf algebra monoidal category center of a category hopf bimodules module category structure theorem equivalence of categories

Cite

@article{arxiv.1402.1393,
  title  = {On Categories associated to a Quasi-Hopf algebra},
  author = {Štefan Sakáloš},
  journal= {arXiv preprint arXiv:1402.1393},
  year   = {2014}
}

Comments

Bibliography corrected in arXiv v2

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