Topological Quantum Groups, Star Products and their relations

Details Topological Quantum Groups, Star Products and their relations Topological Quantum Groups, Star Products and their relations

1994-09-10

arxiv.org/abs/hep-th/9409052v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

This short summary of recent developments in quantum compact groups and star products is divided into 2 parts. In the first one we recast star products in a more abstract form as deformations and review its recent developments. The second part starts with a rapid presentation of standard quantum group theory and its problems, then moves to their completion by introduction of suitable Montel topologies well adapted to duality. Preferred deformations (by star products and unchanged coproducts) of Hopf algebras of functions on compact groups and their duals, are of special interest. Connection with the usual models of quantum groups and the quantum double is then presented.

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