Coherent states for Hopf algebras
classification
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hep-thmath.AG
keywords
algebrascoherenthopfnoncommutativestatesaxiomaticallybundlescome
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Families of Perelomov coherent states are defined axiomatically in the context of unitary representations of Hopf algebras possessing a Haar integral. A global geometric picture involving locally trivial noncommutative fibre bundles is involved in the construction. A noncommutative resolution of identity formula is proved in that setup. Examples come from quantum groups.
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