Abstract
The coherent state representations of a connected and simply connected nilpotent Lie group are characterized in terms of the Kirillov correspondence, as being those irreducible unitary representations whose associated orbits under the coadjoint representation are linear varieties.
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Communicated by H. Araki
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Moscovici, H. Coherent state representations of nilpotent Lie groups. Commun.Math. Phys. 54, 63–68 (1977). https://doi.org/10.1007/BF01609836
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DOI: https://doi.org/10.1007/BF01609836