Coherent states for Hopf algebras

Details Coherent states for Hopf algebras Coherent states for Hopf algebras

2003-03-27

arxiv.org/abs/math/0303357v4

Lett.Math.Phys.81:1-17,2007

Mathematics

Quantum Algebra

19 pages, uses kluwer.cls; the exposition much improved; an example of deriving the resolution of identity via coherent states

Scientific paper

10.1007/s11005-007-0166-y

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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