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Coherent States for Hopf Algebras

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Abstract

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 identity in terms of the family of coherent states holds. Examples come from quantum groups.

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  1. Theoretical Physics Division, Institute Rudjer Bošković, P.O.Box 180, 10002, Zagreb, Croatia

    Zoran Škoda

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Škoda, Z. Coherent States for Hopf Algebras. Lett Math Phys 81, 1–17 (2007). https://doi.org/10.1007/s11005-007-0166-y

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  • DOI: https://doi.org/10.1007/s11005-007-0166-y

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