Quasitriangular (G-cograded) multiplier Hopf algebras
Quantum Algebra
2007-05-23 v1
Abstract
We put the known results on the antipode of a usual quasitriangular Hopf algebra into the framework of multiplier Hopf algebras. We illustrate with examples which can not be obtained using classical Hopf Algebras. The focus of the present paper lies on the class of the so-called group cograded multiplier Hopf algebras. By doing so, we bring the results of quasitriangular Hopf group-coalgebras (as introduced by Turaev) to the more general framework of multiplier Hopf algebras.
Cite
@article{arxiv.math/0408220,
title = {Quasitriangular (G-cograded) multiplier Hopf algebras},
author = {Lydia Delvaux and Alfons Van Daele and Shuanhong Wang},
journal= {arXiv preprint arXiv:math/0408220},
year = {2007}
}