Quasitriangular (G-cograded) multiplier Hopf algebras

Details Quasitriangular (G-cograded) multiplier Hopf algebras Quasitriangular (G-cograded) multiplier Hopf algebras

2004-08-17

arxiv.org/abs/math/0408220v1

Mathematics

Quantum Algebra

Scientific paper

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.

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