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Coherent states for Hopf algebras

Zoran Skoda
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Abstract

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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Zoran Skoda. 2005-03-01. Coherent states for Hopf algebras. https://doi.org/10.1007/s11005-007-0166-y

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