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arXiv · q-alg/9609013

Pairing and Quantum Double of Multiplier Hopf Algebras

Bernhard Drabant·Alfons Van Daele
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Abstract

We define and investigate pairings of multiplier Hopf algebras. It is shown that two dually paired regular multiplier Hopf ($*$-)algebras $A$ and $B$ yield a quantum double multiplier Hopf ($*$-)algebra which is again regular. Integrals on $A$ and $B$ induce an integral on the quantum double. The results generalize pairing and quantum double construction from ordinary Hopf algebras to multiplier Hopf algebras.

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BibTeXRIS

Bernhard Drabant, Alfons Van Daele. 1996-09-16. Pairing and Quantum Double of Multiplier Hopf Algebras. https://arxiv.org/abs/q-alg/9609013

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