- 93-337 Flato M., Sternheimer D.
- Topological Quantum Groups, Star Products and their relations.
(37K, plain TeX)
Dec 21, 93
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Abstract. 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.