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RESEARCH PRODUCT

Compact Topological Quantum Groups

Philippe Bonneau

subject

PhysicsDuality (mathematics)Topological orderTopological ringLie groupCompact quantum groupQuantum topologyTopologySymmetry protected topological orderTopological entropy in physics

description

Using vector spaces topologies we unify the different models of quantum groups. Duality and reflexivity are built in. The Drinfeld deformation can be extended to the distributions on a simple compact Lie group and dually to the infinitely differentiable functions. The topological quantum double is similarly defined and a uniqueness result is obtained.

https://doi.org/10.1007/978-94-015-8543-9_8