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arxiv: math/0303357 · v4 · submitted 2003-03-27 · 🧮 math.QA · hep-th· math.AG

Coherent states for Hopf algebras

classification 🧮 math.QA 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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