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Coherent states for Hopf algebras

Families of Perelomov coherent states are defined axiomatically in the context of unitary representations of Hopf algebras. A global geometric picture involving locally trivial noncommutative fibre bundles is involved in the construction. If, in addition, the Hopf algebra has a left Haar integral, then a formula for noncommutative resolution of unity in terms of the family of coherent states hold. Examples come from quantum groups.

coherent states; Hopf algebra; comodule algebra; Ore localization; localized coinvariants; line bundle; resolution of unity

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